I'm not going to get into an argument with Chris, but I wonder if that answer was just a little too quick. December 31 is a Friday. The EEO 2-for-1 coupon says that you get the second weekend night free. But the second weekend night is Saturday, January 1 -- after the coupon's expiration date.
Personally, I would call the hotel and check this out in advance before taking a chance with the coupon.
Bruce