Complex sentence: He served in the Louisiana House of Representatives from 1924-1936, serving as floor leader from 1928-1932 and Speaker from 1932-1936, when he was elected to the U.S. Senate.
Split into simpler sentences: He served in the Louisiana House of Representatives from 1924-1936. He was floor leader from 1928-1932 and Speaker from 1932-1936, when he was elected to the U.S. Senate.