Equation

  The common denominator is t + 2. Multiple both sides by t + 2.

t + 7    t + 2

= - 4 +

8t + 1    t + 2

(t + 2)

t + 7    t + 2

= - 4(t + 2 ) + (t + 2)

8t + 1    t + 2

t + 7 = -4t - 8 + 8t + 1
t + 7 = 4t - 7
7 + 7 = 4t - t
14 = 3t
14/3 = t

return