Complex sentence: Shelburne was made Prime Minister in 1782 following the death of Lord Rockingham with the American War still being fought before being brought down largely due to the terms of the Peace of Paris which brought the conflict to an end.
Split into simpler sentences: Shelburne was made Prime Minister in 1782 following Rockingham's death with the American War still being fought. Shelburne's government was brought down largely due to the terms of the Peace of Paris which brought the conflict to an end.