REWRITE: Jamie bought a bunch of clothes. She did not check them. (without)
Jamie bought a bunch of clothes without checking them.
REWRITE: Mona paid the bill. Then, she left the restaurant. >> After...
After paying the bill, Mona left the restaurant.
REWRITE: Aaron drinks a lot of water when it's hot outside. This is how he avoids getting a heatstroke. (by)
Aaron avoids getting a heatstroke by drinking a lot of water when it's hot outside.