Primary election updates: Brad Raffensperger wins Georgia primary

Former President Donald Trump called into Herschel Walker's victory party on Tuesday night, congratulating the Republican nominee in brief remarks.

"And, you know, you were the greatest football player, and you'll be an even greater politician and Senator," Trump said.

"I knew it right from the beginning when first I spoke to you and I said, this man is gonna do things that are incredible."

Walker then thanked his campaign and supporters and made a vague jab at his opponents.

"If you live in the state of Georgia, you're my family. And these radicals will have to come after me before they get to you. And I won't let that happen," Walker said.

ABC News projects that Sarah Huckabee Sanders will win the Republican nomination for governor in Arkansas, beating out her sole competitor, Little Rock radio host Francis "Doc" Washburn.

Sanders, the 39-year-old daughter of former Gov. Mike Huckabee, with her victory upholds a political dynasty in Arkansas. Heading into Election Day, she secured endorsements from former President Donald Trump, former Vice President Mike Pence and Sen. Tom Cotton, among others.

Trump made his last push for Sanders today, sending wide a statement called his endorsee a “warrior” who would do what is right, not what is "political correct."

ABC News projects that in the Texas Republican primary runoff, incumbent Attorney General Ken Paxton will win. As of 9 p.m. Eastern, with 29% of the expected vote in, Paxton leads with 66% of the vote, while George P. Bush follows with 34% of the vote.

This race was both a test of Trump’s endorsement and the power of political dynasties, in this case: the Bushes.

Paxton received former President Donald Trump’s endorsement in July 2021 but went into the runoff engulfed in scandals that include indictment for securities fraud, FBI investigations into malfeasance and marital infidelity, among others. He denies all allegations.

His opponent was Bush, who is George H. W. Bush’s grandson and son of former Florida Gov. Jeb Bush. He is the only member of his famous family still in public office, currently serving as commissioner of the Texas General Land Office.

ABC News projects that Rep. Marjorie Taylor Greene is the winner of the Republican primary in Georgia's 14th Congressional District.

Greene edged out five Republican competitors and overcame a legal challenge to her reelection despite her turbulent tenure in Congress.

As ABC’s Hannah Demissie reported, a group of Georgia voters said that Greene was not eligible to run for reelection due to her alleged involvement in the Jan. 6 attacks on the Capitol, citing the 14th Amendment. Georgia Secretary of State Brad Raffensperger agreed in early May with the court’s recommendation that Greene is allowed to stay on the ballot.