Early takeaways: Some seasoned candidates and a famous name advance in Tuesday's primaries

While Tuesday's primaries provided another showcase of the Democrats' struggle between the ideological left and center, they also showed that in some states, for some races, experience was rewarded. For Republicans, a contest to replace the late Sen. Lindsey Graham pitted his sister, Darline Graham, against far more experienced candidates. But she also had the endorsement of President Donald Trump, and she secured a spot in a runoff election later this month.