Hello.

Your work looks great to me. The beauty of this type of problem is your ability to check your answer of t=6.

-3 -4( [6] -5) = -2( [6] +3) +11

-3 -4(1) = -2(9) +11

-3 -4 = -18 +11

-7 = -7

Seems to check out to me. Always check your solutions when you can just plug them back into the initial problem.