Verified answer

(2 / (t - 3) + [8 / (t + 7)] = [(t - 1) / (t - 3)(t + 7)]

[2(t + 7) + 8(t - 3)] / (t - 3)(t + 7) = [(t - 1) / (t - 3)(t + 7)]

2(t + 7) + 8(t - 3) = t - 1

2t + 14 + 8t - 24 = t - 1

2t + 8t - t = - 1 - 14 + 24

9t = 9

t = 9 / 9

t = 1

¯¯¯¯