Who won and who lost in Tuesday’s primary elections.

Voters in several states weighed in on key contests in Tuesday’s primaries. Here are some of the most notable wins and losses:

Representative Tom Rice, one of the 10 House Republicans who voted to impeach former President Donald J. Trump after the Jan. 6 attack on the Capitol, was defeated by his Trump-backed challenger, State Representative Russell Fry, in the Republican primary in the Seventh Congressional District.
Representative Nancy Mace, a Republican, defeated her Trump-endorsed challenger, Katie Arrington, a former state legislator, to win the party’s nomination in the First Congressional District. The race tested whether Republican primary voters prized loyalty to Mr. Trump over concerns that Ms. Arrington wasn’t a strong general election candidate.

In the state’s G.O.P. Senate primary, Adam Laxalt won his party’s nomination and will face the incumbent Senator Catherine Cortez Masto, who is seen as vulnerable this fall. Mr. Laxalt, a former attorney general, was endorsed by Mr. Trump and had helped lead Mr. Trump’s efforts to overturn the presidential election results in Nevada in 2020.
Joe Lombardo, the Las Vegas area sheriff who was endorsed by Mr. Trump, won the Republican nomination and will challenge Gov. Steve Sisolak, a Democrat, in what is expected to be one of the tightest governor’s races in the country.
Jim Marchant, one of the organizers of the “America First” slate of secretary of state candidates who continue to harbor doubts about the 2020 election, won the Republican nomination to be the state’s top election official. He will compete against Cisco Aguilar, a Democratic lawyer who ran uncontested.
April Becker, a lawyer and political newcomer, won the Republican nomination in the Third Congressional District and will face Representative Susie Lee, a Democrat.

Mayra Flores won the special election in the 34th Congressional District, flipping a seat — at least for now — that had long been held by Democrats. She’ll have the seat at least until the end of the year. It was vacated by Representative Filemon Vela, a Democrat who resigned to take a job with a lobbying firm. Ms. Flores will be the first Republican from the district and the first Latina Republican from Texas in Congress.

Bruce Poliquin, who used to represent the Second Congressional District, won the Republican nomination for his old seat. He will challenge Representative Jared Golden, one of the country’s most endangered House Democrats, who was uncontested in his primary.