Equation

  The common denominator is t + 3. Multiple both sides by t + 3.

t + 7    t + 3

= - 4 +

8t + 1    t + 3

(t + 3)

t + 7    t + 3

= - 4(t + 3 ) + (t + 3)

8t + 1    t + 3

t + 7 = -4t - 12 + 8t + 1
t + 7 = 4t - 11
7 + 11 = 4t - t
18 = 3t
6 = t

return