6(m+2)-9(m-1)=0

Solution for 6(m+2)-9(m-1)=0 equation:

Simplifying
6(m + 2) + -9(m + -1) = 0

Reorder the terms:
6(2 + m) + -9(m + -1) = 0
(2 * 6 + m * 6) + -9(m + -1) = 0
(12 + 6m) + -9(m + -1) = 0

Reorder the terms:
12 + 6m + -9(-1 + m) = 0
12 + 6m + (-1 * -9 + m * -9) = 0
12 + 6m + (9 + -9m) = 0

Reorder the terms:
12 + 9 + 6m + -9m = 0

Combine like terms: 12 + 9 = 21
21 + 6m + -9m = 0

Combine like terms: 6m + -9m = -3m
21 + -3m = 0

Solving
21 + -3m = 0

Solving for variable 'm'.

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

Add '-21' to each side of the equation.
21 + -21 + -3m = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -3m = 0 + -21
-3m = 0 + -21

Combine like terms: 0 + -21 = -21
-3m = -21

Divide each side by '-3'.
m = 7

Simplifying
m = 7