Go out, kill the Dark Jedi, and go around left.
Blast the troopers, then go through the door.
Go up the stairs, all kill the Dark Jedi.
Go through this door, kill the Dark Jedi on the bridge.
Go through this door and hop over the gap, kill the Cultists.
Go around and into the door to the left.
Go down the stairs and kill the Dak Jedi.
Go out the door at the bottom and kill the Cultists there.
Go inside and kill the Cultists right inside the door.
Continue into the next area and go onto the bridge.