Voters in seven states weighed in on key contests in Tuesday’s primaries. Here is a rundown of some of the most notable wins and losses:

California

• San Francisco recalled its progressive district attorney, Chesa Boudin. Mr. Boudin had enacted sweeping overhauls since being elected two years ago and faced criticism that those changes led to increases in crime.

• Rick Caruso, the billionaire developer, and Representative Karen Bass will square off in a runoff contest to be the mayor of Los Angeles.

• Gov. Gavin Newsom, who last year easily beat back a Republican-led recall effort, will face State Senator Brian Dahle, a Republican.

• Attorney General Rob Bonta, a Democrat, will advance to the November runoff after his first place finish in the open primary for that office. A second candidate has not been determined yet.

• Representative Michelle Steel, a freshman Republican, will face Jay Chen, a Democrat and Navy reservist.

• Scott Baugh, a former leader of the California Assembly, fended off a crowded Republican field on Tuesday to earn the right to challenge Representative Katie Porter.

• Representative Mike Garcia, a Republican, will face Christy Smith, a former Democratic state legislator, for the third time.

• Kevin Kiley, a Republican state legislator backed by former President Donald J. Trump, will compete against the Democrat, Kermit Jones, who is a Navy veteran and physician, in the Third Congressional District.

New Jersey

• Robert J. Menendez Jr., the son of Senator Bob Menendez, won his House Democratic primary in the Eighth Congressional District.

• Tom Kean Jr., a former lawmaker and the son of a two-term New Jersey governor, won the Republican nomination in the state’s Seventh Congressional District. He now faces Representative Tom Malinowski, the Democratic incumbent.

Iowa

• Senator Charles E. Grassley, 88, easily won his primary race and will run against Mike Franken, a retired Navy admiral who won the Democratic primary for Senate.

• State Senator Zach Nunn won the Republican nomination for Iowa’s Third Congressional District. Mr. Nunn will face Representative Cindy Axne, the Democratic incumbent.

New Mexico

• Mark Ronchetti, a former Albuquerque television meteorologist, was the Republican’s pick to challenge Gov. Michelle Lujan Grisham, a Democrat.

• Gabe Vasquez, a Las Cruces city councilor, won the Democratic nomination for New Mexico’s Second Congressional District. Mr. Vasquez will face Representative Yvette Herrell, the Republican incumbent.

• Raúl Torrez, the Bernalillo County district attorney, defeated Brian Colón, the state auditor, in the Democratic primary for attorney general.

South Dakota

• Voters defeated an effort to increase the level of support needed to pass most voter-initiated referendums to 60 percent from a majority.

• Gov. Kristi Noem won her Republican primary, and so did Senator John Thune.

Mississippi

• Representative Steven Palazzo, a Republican facing an ethics investigation, was forced into a runoff election in his party’s primary, according to The Associated Press. It has not yet been announced who he will face later this month.