It didn't take long for Maine's Austin Theriault to dispatch with his primary tonight. With just 21 percent of the expected vote counted, Theriault leads opponent Michael Soboleski, 67 percent to 33 percent, and the AP projects that Theriault will be the winner in Maine's 2nd District.

—Jacob Rubashkin, Inside Elections

Upstate, the race to replace retiring Rep. Jeff Duncan has essentially fallen into a close three-person race. With 63 percent of the expected votes counted, Trump-endorsed Burns is at 31 percent, Biggs has 30 percent and Jones has 20 percent. Toss in double-digit support for Kevin Bishop, the recently retired communications director for Sen. Lindsey Graham, and it's enough to split the vote in a way that makes it very hard for any candidate to break the majority threshold. Whoever finishes tonight in the top two slots will very likely face off again in a runoff election in two weeks' time. It's been interesting to see the vote regional breakdown as ballots are counted. Jones is leading in Laurens County with 52 percent of the vote there — no surprise, as this is the part of the district that Jones represents in the state House. Burns is leading in Pickens, Abbeville (trivia: this is the first county in the U.S., alphabetically), and McCormick Counties — the first two are slightly more conservative, and the first is his home county.

—Kaleigh Rogers, 538

As we've noted, Mace was one of eight Republicans who voted to oust McCarthy from the speakership last year. Two (Ken Buck and Matt Rosendale) have already resigned or retired from Congress, and McCarthy allies were targeting many of the other six for defeat in primaries this year. Mace was the first of these to face voters, and she obviously survived, so pro-McCarthy forces are 0-for-1.

—Nathaniel Rakich, 538

The AP has projected that Nancy Mace will win the GOP nomination in South Carolina’s 1st District. It’s an early call for the embattled congresswoman who has angered both Trump allies and House GOP leadership over her two terms in Congress. She leads her opponent, 58 percent to 29 percent, with just over a quarter of the vote counted. Mace will be the favorite in the general election too, after the Supreme Court halted a lower court’s ruling that her district needed to be redrawn.

—Jacob Rubashkin, Inside Elections

North Dakota Gov. Doug Burgum's retirement has precipitated an expensive and increasingly ugly Republican primary for governor between Rep. Kelly Armstrong and Lt. Gov. Tammy Miller. Armstrong is more familiar to voters, having served in Congress since 2019, while Burgum tapped Miller as his new lieutenant governor in December 2022. Both candidates have thrown around large sums of their own money: Based on financial reports though May 2 and large donations reported through June 7, about $3.8 million of the $4.2 million Miller has reported raising has come out of her own pocket, while Armstrong has self-funded almost $1.3 million of the $3.4 million he's collected.

Armstrong is the front-runner, having garnered endorsements from Trump and the state GOP. He also held a clear lead in three different surveys conducted in May, all of which showed him receiving close to 60 percent while Miller only attracted around 20 percent. Looking to gain ground, Miller has tried to link herself to Trump and Burgum, who's endorsed her. She's also run negative ads against Armstrong, including one that Rob Port of InForum described as "the most brutal" he'd seen in North Dakota that accuses Armstrong of insider trading and defending a child molester when he was a lawyer. Armstrong's campaign called the insider trading claim a lie, and the victims in the molestation case called for Miller to stop running ads about it. And Armstrong isn't without his own ad controversy, as his campaign ran a spot against Miller that included a citation from an artificial intelligence news website, which prompted Miller to criticize Armstrong for running "fake news" about her record.

—Geoffrey Skelley, 538