Complex sentence: Larrick cleverly tracks down the KGB's DC-area switchboard operator and kills him, the operator fries the dashboard before being shot, but Larrick discovers Kate's phone number from the remnants of it.
Split into simpler sentences: Larrick cleverly tracks down the KGB's DC-area switchboard operator and kills him. The operator fries the switchboard before being shot, but Larrick discovers Kate's phone number from the remnants of it.