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?
The air conditioner ran for 3 hours on low, so the temperature dropped 2 * 3 = <<3*2=6>>6 degrees.
It then ran for 4 hours on high, so the temperature dropped another 3 * 4 = <<3*4=12>>12 degrees.
It was then turned off for 2 hours, so the temperature rose 2 * 2 = <<2*2=4>>4 degrees.
Thus, the final temperature was 6 + 12 - 4 = <<6+12-4=14>>14 degrees lower than the starting temperature.
#### 14