9(m+5)-3(m-2)=w-58

Solution for 9(m+5)-3(m-2)=w-58 equation:

Simplifying
9(m + 5) + -3(m + -2) = w + -58

Reorder the terms:
9(5 + m) + -3(m + -2) = w + -58
(5 * 9 + m * 9) + -3(m + -2) = w + -58
(45 + 9m) + -3(m + -2) = w + -58

Reorder the terms:
45 + 9m + -3(-2 + m) = w + -58
45 + 9m + (-2 * -3 + m * -3) = w + -58
45 + 9m + (6 + -3m) = w + -58

Reorder the terms:
45 + 6 + 9m + -3m = w + -58

Combine like terms: 45 + 6 = 51
51 + 9m + -3m = w + -58

Combine like terms: 9m + -3m = 6m
51 + 6m = w + -58

Reorder the terms:
51 + 6m = -58 + w

Solving
51 + 6m = -58 + w

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-51' to each side of the equation.
51 + -51 + 6m = -58 + -51 + w

Combine like terms: 51 + -51 = 0
0 + 6m = -58 + -51 + w
6m = -58 + -51 + w

Combine like terms: -58 + -51 = -109
6m = -109 + w

Divide each side by '6'.
m = -18.16666667 + 0.1666666667w

Simplifying
m = -18.16666667 + 0.1666666667w