Complex sentence: Jai Singh's first step in his rise to greatness took place on the accession of Shah Jahan (1627)--taking advantage of this change of sovereigns, Jai Singh's commander in the Deccan, Khan Jahan Lodi rebelled along with his Afghan followers.
Split into simpler sentences: Jai Singh's first step in his rise to greatness took place on the accession of Shah Jahan (1627). Taking advantage of this change of sovereigns, Jai Singh's commander in the Deccan, Khan Jahan Lodi rebelled along with his Afghan followers.