Answer
m=18
Work Step by Step
Simplifying
9m + -3(m + -5) = 7m + -3
Reorder the terms:
9m + -3(-5 + m) = 7m + -3
9m + (-5 * -3 + m * -3) = 7m + -3
9m + (15 + -3m) = 7m + -3
Reorder the terms:
15 + 9m + -3m = 7m + -3
Combine like terms: 9m + -3m = 6m
15 + 6m = 7m + -3
Reorder the terms:
15 + 6m = -3 + 7m
Solving
15 + 6m = -3 + 7m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-7m' to each side of the equation.
15 + 6m + -7m = -3 + 7m + -7m
Combine like terms: 6m + -7m = -1m
15 + -1m = -3 + 7m + -7m
Combine like terms: 7m + -7m = 0
15 + -1m = -3 + 0
15 + -1m = -3
Add '-15' to each side of the equation.
15 + -15 + -1m = -3 + -15
Combine like terms: 15 + -15 = 0
0 + -1m = -3 + -15
-1m = -3 + -15
Combine like terms: -3 + -15 = -18
-1m = -18
Divide each side by '-1'.
m = 18
Simplifying
m = 18
