Go here for results in Georgia.

Go here for results in Texas.

Go here for results in Arkansas.

Go here for results in Kentucky.

The race for the open governor’s seat in Georgia, a battle with implications for health care, gun control and other contentious issues, leads a slate of three primaries on Tuesday. Gov. Nathan Deal, a Republican, has reached his term limit, and Georgia Democrats are hoping the same political climate that has buoyed them in special elections will propel them in a state where they have not won the governorship in two decades.

Also in play are two competitive House seats, including the Sixth District, a longtime Republican stronghold where a Democrat came close to winning in a special election last year.

Elsewhere, Democrats are hoping to pick up House seats in Arkansas and Kentucky, which will also hold their primaries on Tuesday. And in Texas, which held its primaries in March, candidates for governor and for 17 House seats will be decided in runoffs.