NASHUA, N.H. — Donald Trump and Bernie Sanders won the nation's first presidential primary overwhelmingly Tuesday as rebellious voters sent a strong message demanding dramatic change in Washington.

Voters apparently wanted something different.

For Trump, a Republican billionaire businessman, and Sanders, a self-described democratic socialist, the victories were resounding triumphs over business-as-usual politics.

They beat some of the biggest, best-funded names in 2016, and they did it in unconventional ways.

Although Trump's pitch was conservative and Sanders' was liberal, both vowed to end the influence of big money in politics.

They financed their campaigns without cash from corporate donors or wealthy friends.

Both mobilized "undeclared" voters not aligned with either political party.

Sanders, a senator from Vermont, led former Secretary of State Hillary Clinton by 20 percentage points early on was declared the winner by TV networks soon after the polls closed.

Trump, who was coasting to his first election victory, also was declared the runaway winner moments after the polls closed.

The night's biggest loser appeared to be Sen. Marco Rubio of

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Florida. Eight days earlier, he'd claimed a victory of sorts with a close third-place finish in Iowa, and he was counting on at least a solid runner-up showing here.

But his robotic debate performance Saturday triggered doubts about his ability to think on his feet and clearly hurt him.

Trump, entering a victory rally to the Beatles' song "Revolution," thanked his late parents and his family and paid fast respects to his rivals.

He noted that today they all will go back to the rough and tumble of "boom, boom, boom" against one another, and he said he would go on to win in South Carolina next.

New Hampshire Republicans also anointed, at least for a week, an upbeat alternative to the outspoken outsider: Gov. John Kasich of Ohio ran second.

Kasich, who conducted more than 100 town hall meetings in the state, did well among late deciders, a huge bloc of voters. He emphasized his ability to build coalitions and challenge conservative orthodoxy.

Kasich plans to campaign in Michigan early next week as he eyes a string of Midwestern primaries next month.

He faces fresh competition for the mainstream GOP vote from Jeb Bush, a former governor of Florida, who was battling Sen. Ted Cruz of Texas for third place in New Hampshire.

Bush's family has done well in South Carolina's primary, and his sizable campaign treasury makes him a serious contender in next month's string of primaries.

"You all have reset the race," Bush told his supporters Tuesday.

Gov. Chris Christie of New Jersey could see his campaign end after a less-than stellar showing; he had bet heavily on doing well in a state with a center-right electorate similar to his own state's.

Helping to fuel Trump's rise was widespread Republican dissatisfaction with the party, as half of the voters said GOP politicians had betrayed them. Voters throughout the week since the Iowa caucuses have said they were disappointed with the Republican-led Congress, complaining that it had failed to undo Obama administration initiatives such as the Affordable Care Act.

As a result, roughly half the voters Tuesday wanted someone from outside the usual political circles. Trump has never been active in GOP politics, and he promised to bring his business acumen and hardball style to gridlocked Washington.

New Hampshire's independent-minded voters historically are predictors of future nominees, or at least of trends. But Trump and Sanders will face tougher challenges in the next few weeks. Next up for Republicans is the South Carolina primary Feb. 20.

The state's GOP electorate resembles Iowa's, where Cruz won last week's caucuses and Trump finished second. Conservative Christians might make up as much as two-thirds of the South Carolina Republican electorate, and Cruz's Bible-quoting message has the potential to resonate.

Sanders could struggle in Nevada's Democratic caucuses on Feb. 20 and South Carolina's Democratic primary on Feb. 27. Clinton is seen as having an edge in those states because of their sizable populations of Latinos and blacks, blocs thought to be loyal to her.

Clinton narrowly won last week's Iowa caucuses. A victory in New Hampshire, or even a single-digit loss, would have given her important momentum. Instead, she suffered a crushing defeat, creating new pressure to win in Nevada and South Carolina.

Clinton conceded defeat in New Hampshire and congratulated Sanders about an hour after the polls closed.

"I still love New Hampshire, and I always will," she said, with her husband and daughter standing nearby. "Now we take this campaign to the entire country. We're going to fight for every vote in every state." Claiming victory and thanking cheering supporters, Sanders said his victory sent a powerful signal to the political establishment.

"We won because of your energy," he said. "Together, we have sent a message that will echo from Wall Street to Washington, from Maine to California, that the government of our great country belongs to all of the people and not just a handful of wealthy campaign contributors and their super PACs."

"We are going to do something so good and so fast and so strong, and the world is going to respect us again, believe me."

Donald Trump, at his New Hampshire victory rally

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