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

Voters in five states with major primary contests went to the polls on Tuesday. Here’s a rundown of some of the most important wins and losses so far.

Arizona

Kansas

• Voters rejected a constitutional amendment that would have allowed lawmakers to restrict or ban abortion; it was the first referendum on the issue since the Supreme Court overturned Roe v. Wade. The result, in a conservative state, was a major victory for supporters of abortion rights.

• Derek Schmidt, the Kansas attorney general, won the Republican primary for governor and will challenge Gov. Laura Kelly, the Democratic incumbent.

• Secretary of State Scott J. Schwab, a Republican who rejected Mr. Trump’s false claims of voter fraud, beat back a primary challenge from Mike Brown, a former county commissioner in the Kansas City suburbs who has promoted those claims.

• Kris Kobach, the hard-right former Kansas secretary of state, won the Republican nomination for attorney general, a political comeback after unsuccessful runs for Senate and governor.

• Amanda Adkins won the Republican primary to challenge Representative Sharice Davids, a vulnerable Democrat, in a rematch of a 2020 race that Ms. Adkins lost.

Michigan

• Tudor Dixon, who was backed by former Education Secretary Betsy DeVos, won the Republican primary for governor and will face the Democratic incumbent, Gov. Gretchen Whitmer, in the fall. Ms. Dixon defeated several other Republicans, including Ryan Kelley, who faces misdemeanor charges in connection with the Capitol riot.

• Representative Haley Stevens handily beat Representative Andy Levin in the Democratic primary in Michigan’s 11th Congressional District. The incumbent-on-incumbent race in a new (and safely blue) district drew heavy spending from pro-Israel groups.

• Paul Junge, a former TV news anchor and prosecutor who worked in the Trump administration, won the Republican primary in the Eighth District and will face Representative Dan Kildee, a vulnerable Democratic incumbent.

Missouri

• Attorney General Eric Schmitt won the Republican nomination for Senate — beating 20 other Republicans, including the scandal-plagued former Gov. Eric Greitens — and is likely to coast to victory in November to replace Senator Roy Blunt, who is retiring. It was a relief for party officials who had feared that a Greitens nomination would give Democrats a shot at a solidly red seat.

• Mark Alford, a former Kansas City news anchorman, won the Republican primary in Missouri’s Fourth Congressional District to replace Representative Vicky Hartzler, who left her safe Republican seat to run unsuccessfully for Senate.

• Eric Burlison, a state senator backed by the conservative Club for Growth, is the Republican nominee to replace Representative Billy Long, another unsuccessful Senate candidate, in the Seventh District.

Washington

• Representative Kim Schrier, a Democrat, easily advanced to the general election in the Eighth Congressional District. Her Republican opponent is to be determined.

We’ll keep updating as more races are called.