-9m-5(6m+3)=-4(12m-12)

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Solution for -9m-5(6m+3)=-4(12m-12) equation:


Simplifying
-9m + -5(6m + 3) = -4(12m + -12)

Reorder the terms:
-9m + -5(3 + 6m) = -4(12m + -12)
-9m + (3 * -5 + 6m * -5) = -4(12m + -12)
-9m + (-15 + -30m) = -4(12m + -12)

Reorder the terms:
-15 + -9m + -30m = -4(12m + -12)

Combine like terms: -9m + -30m = -39m
-15 + -39m = -4(12m + -12)

Reorder the terms:
-15 + -39m = -4(-12 + 12m)
-15 + -39m = (-12 * -4 + 12m * -4)
-15 + -39m = (48 + -48m)

Solving
-15 + -39m = 48 + -48m

Solving for variable 'm'.

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

Add '48m' to each side of the equation.
-15 + -39m + 48m = 48 + -48m + 48m

Combine like terms: -39m + 48m = 9m
-15 + 9m = 48 + -48m + 48m

Combine like terms: -48m + 48m = 0
-15 + 9m = 48 + 0
-15 + 9m = 48

Add '15' to each side of the equation.
-15 + 15 + 9m = 48 + 15

Combine like terms: -15 + 15 = 0
0 + 9m = 48 + 15
9m = 48 + 15

Combine like terms: 48 + 15 = 63
9m = 63

Divide each side by '9'.
m = 7

Simplifying
m = 7

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