You have the following equation:
5n + 34 = -2 + 14n
in order to solve the previous equation, proceed as follow:
5n + 34 = -2 + 14n subtract 14n and 34 both sides
5n - 14n = -2 - 34 simplify both sides
-9n = -36 divide by -9 both sides
n = -36/(-9)
n = 4
Then, the value of n is n = 4