Nine candidates - six Democrats, two Republicans and one Green Party - are on the ballot to replace Republican Gov. John Kasich, who is prohibited from running again due to Ohio's term limits.
DeWine served two terms in the U.S. Senate.
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The Democratic primary for governor pits former Director of the Consumer Financial Protection Bureau (CFPB) Richard Cordray against former U.S. Congressman and two-time presidential candidate Dennis Kucinich.
DeWine's victory over Kasich's lieutenant governor, Mary Taylor, followed a bitter and expensive campaign in which Taylor likened DeWine's record to that of Obama and Hillary Clinton and questioned his loyalty to President Donald Trump.
He and Ohio Secretary of State Jon Husted, who was originally running for the same position, made a decision to team up to win the governorship. Elizabeth Warren, under Obama, a Democrat, and Trump, a Republican.
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But Kucinich, a feisty former Cleveland mayor who twice ran for president, energized voters with a liberal anti-gun, pro-environment platform.
"I wouldn't talk about this race in the past tense because the vote that came out is more of a party controlled vote", Kucinich said during an interview with Neil Cavuto Tuesday night, his first comments following a Fox News projection that Cordray will win the nomination.
DeWine is now Ohio's Attorney General and a former U.S. Senator.
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A state senator and a former Ohio Supreme Court justice also competed.