Complex sentence: In 1971 he was offered, and accepted, a position at the University of Texas at Austin, which meant he had to leave the band, playing his last gig with them on August 21 in Houston.
Split into simpler sentences: In 1971 he was offered, and accepted, a position at the University of Texas at Austin, which meant leaving the band. He played his last gig with them on August 21 in Houston.