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

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


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

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

Reorder the terms:
-6 + 5m + 3m + -6m = -12

Combine like terms: 5m + 3m = 8m
-6 + 8m + -6m = -12

Combine like terms: 8m + -6m = 2m
-6 + 2m = -12

Solving
-6 + 2m = -12

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 6 + 2m = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 2m = -12 + 6
2m = -12 + 6

Combine like terms: -12 + 6 = -6
2m = -6

Divide each side by '2'.
m = -3

Simplifying
m = -3

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