-12m+9m=-7(m-4)+2(m+7)

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Solution for -12m+9m=-7(m-4)+2(m+7) equation:


Simplifying
-12m + 9m = -7(m + -4) + 2(m + 7)

Combine like terms: -12m + 9m = -3m
-3m = -7(m + -4) + 2(m + 7)

Reorder the terms:
-3m = -7(-4 + m) + 2(m + 7)
-3m = (-4 * -7 + m * -7) + 2(m + 7)
-3m = (28 + -7m) + 2(m + 7)

Reorder the terms:
-3m = 28 + -7m + 2(7 + m)
-3m = 28 + -7m + (7 * 2 + m * 2)
-3m = 28 + -7m + (14 + 2m)

Reorder the terms:
-3m = 28 + 14 + -7m + 2m

Combine like terms: 28 + 14 = 42
-3m = 42 + -7m + 2m

Combine like terms: -7m + 2m = -5m
-3m = 42 + -5m

Solving
-3m = 42 + -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.
-3m + 5m = 42 + -5m + 5m

Combine like terms: -3m + 5m = 2m
2m = 42 + -5m + 5m

Combine like terms: -5m + 5m = 0
2m = 42 + 0
2m = 42

Divide each side by '2'.
m = 21

Simplifying
m = 21

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