Second, yes, it's likely correct. When looking at axles and tires you have to subtract tongue weight from that number. So, assuming your tongue weight is 750lbs that brings you to 6990lbs. So you're 10 pounds under weight, if I guessed your tongue weight correctly! Woo hoo!
I'd weigh it, you can do that pretty easily with a bathroom scale, a board and a couple of lengths of pipe. Find out what your actual tongue weight is then subtract that from the GVWR. That's what is carried on your axles.
A trip to the CAT scale would be good info to have also. Loaded for a typical trip.
Now-2014 Sierra 346RETS 5er BUB
Then-2002 Keystone Springdale 286RLDS TT
Nights camped in 2014-28, 2015-127, 2016-10