Question

Solve: (t+24)/(t^2-t-56)+7/t-8=3/t+7

Answer 1

Is the denominator after the 7, t or t-8? Use parentheses where needed fr clarity.

I suggest you recognize that
(t^2-t-56) = (t-8)(t+7)
and multiply both sides of the equation by that. It will simplify things a lot.

(t+24) + 7(t+7) = 3(t-8)

Take it from there
.