Factor the right numerator to get:
(t-8)(t+7) / (t-8) = 3/(t+5) the term (t-8) cancles out on the right but REMEMBER t cannot equal 8 (would make zero denominator)
t+7 = 3/ (t+5)
(t+7)*(t+5) = 3
t^2 + 12t + 35 = 3
t^2 + 12t + 32 = 0
(t+8)(t+4) = 0 Shows t = -8 or -4 the greatest of which is -4