You have the following equation:
-5(n - 1) = 7(n + 3)
in order to solve the previous equation, proceed as follow:
-5(n - 1) = 7(n + 3) apply distribution property
-5n + 5 = 7n + 21 subtract 7n and 5 both sides
-5n - 7n = 21 - 5 simplify both sides
-12n = 16 divide by -12 both sides
n = 16/(-12)
n = -4/3
Hence, the solution to the given equation si n = -4/3