Complex sentence: After the Vietnam War, Weathersby began playing rhythm guitar with Albert King on short road trips from 1979 to 1981, but the experience solidified Weathersby's identity as a blues musician.
Split into simpler sentences: After the Vietnam War, Weathersby began playing rhythm guitar with Albert King. It was only on short road trips between 1979--81, but the experience solidified Weathersby's identity as a blues musician.