travel trailer

So my 2008 Chevy Tahoe says the LTZ with towing is at a max 8200 lbs. I recently purchased a travel trailer that's about 7700 lbs. empty. I know leaving 500 lbs. isn't the greatest, but what cushion do I have, if any, when they designed the towing torque?

I just bought a 2013 Tahoe LTZ with the towing package on it. I am getting ready to buy an RV trailer (looking at either a 28' or 31') and have been reading up on weight distributing hitches. I have read in a couple places that if the hitch doesn't have both a weight carrying AND a weight...