Can you break down the solution for me for this math problem: An air conditioner cools a room 2 degrees an hour on low and 3 degrees an hour on high. The room will warm up at 2 degrees an hour with no air conditioner running. The air conditioner ran on low for 3 hours, then it was turned up to high for 4 hours. Afterward, it was turned off for 2 hours. How many degrees lower than the starting temperature was the final temperature?