Sen. Lisa Murkowski (R-Alaska) beat Trump-backed Republican foe Kelly Tshibaka in Alaska's Senate election, the state's Division of Elections announced Wednesday.

Why it matters: Murkowski's victory represents another blow for the former president's handpicked candidates, many of whom lost their midterm races.

State of play: Election officials on Wednesday announced the results of the state's new ranked-choice voting system.

• For races in which no candidate earns 50% of the vote, the candidates with the fewest votes are eliminated.
• When a candidate is eliminated, their votes are reallocated to voters' second choice, per the state's division of elections.

The big picture: Murkowski, a moderate Senate Republican, held off an intra-party challenge from Tshibaka, who earned Trump's endorsement, and is the former commissioner of the Alaska Department of Administration.

• Trump had vowed to unseat Murkowski, who was one of seven Republican senators who voted to convict Trump over the Jan. 6 Capitol riot.
• Murkowski earned the support of the Senate GOP's campaign arm and the Senate Leadership Fund, a super PAC run by allies of Senate Minority Leader Mitch McConnell (R).

Go deeper... Republicans narrowly capture House after Democrats held Senate