Question

142 = -6(5n + 1) - 7n

a. -4
b. -9
c. all real numbers
d. no solution

Answer 1

a. -4

Explanation:

142 = -6(5n + 1) - 7n

142 = -6*5n + 1*(-6) - 7n ==> distributive property

142 = -30n + (-6) - 7n

142 = -30n - 6 - 7n

142 = -30n - 7n - 6

142 = -37n - 6

142 + 6 = -37n - 6 + 6

148 = -37n

-37n/(-37) = 148/(-37)

n=-4 ==> a