3(2m-6)+9=12-5m

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Solution for 3(2m-6)+9=12-5m equation:


Simplifying
3(2m + -6) + 9 = 12 + -5m

Reorder the terms:
3(-6 + 2m) + 9 = 12 + -5m
(-6 * 3 + 2m * 3) + 9 = 12 + -5m
(-18 + 6m) + 9 = 12 + -5m

Reorder the terms:
-18 + 9 + 6m = 12 + -5m

Combine like terms: -18 + 9 = -9
-9 + 6m = 12 + -5m

Solving
-9 + 6m = 12 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
-9 + 6m + 5m = 12 + -5m + 5m

Combine like terms: 6m + 5m = 11m
-9 + 11m = 12 + -5m + 5m

Combine like terms: -5m + 5m = 0
-9 + 11m = 12 + 0
-9 + 11m = 12

Add '9' to each side of the equation.
-9 + 9 + 11m = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 11m = 12 + 9
11m = 12 + 9

Combine like terms: 12 + 9 = 21
11m = 21

Divide each side by '11'.
m = 1.909090909

Simplifying
m = 1.909090909

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