-6m+15-9(m-1)=2m-(9m-9)-4m+7

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Solution for -6m+15-9(m-1)=2m-(9m-9)-4m+7 equation: 


Simplifying
-6m + 15 + -9(m + -1) = 2m + -1(9m + -9) + -4m + 7

Reorder the terms:
-6m + 15 + -9(-1 + m) = 2m + -1(9m + -9) + -4m + 7
-6m + 15 + (-1 * -9 + m * -9) = 2m + -1(9m + -9) + -4m + 7
-6m + 15 + (9 + -9m) = 2m + -1(9m + -9) + -4m + 7

Reorder the terms:
15 + 9 + -6m + -9m = 2m + -1(9m + -9) + -4m + 7

Combine like terms: 15 + 9 = 24
24 + -6m + -9m = 2m + -1(9m + -9) + -4m + 7

Combine like terms: -6m + -9m = -15m
24 + -15m = 2m + -1(9m + -9) + -4m + 7

Reorder the terms:
24 + -15m = 2m + -1(-9 + 9m) + -4m + 7
24 + -15m = 2m + (-9 * -1 + 9m * -1) + -4m + 7
24 + -15m = 2m + (9 + -9m) + -4m + 7

Reorder the terms:
24 + -15m = 9 + 7 + 2m + -9m + -4m

Combine like terms: 9 + 7 = 16
24 + -15m = 16 + 2m + -9m + -4m

Combine like terms: 2m + -9m = -7m
24 + -15m = 16 + -7m + -4m

Combine like terms: -7m + -4m = -11m
24 + -15m = 16 + -11m

Solving
24 + -15m = 16 + -11m

Solving for variable 'm'.

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

Add '11m' to each side of the equation.
24 + -15m + 11m = 16 + -11m + 11m

Combine like terms: -15m + 11m = -4m
24 + -4m = 16 + -11m + 11m

Combine like terms: -11m + 11m = 0
24 + -4m = 16 + 0
24 + -4m = 16

Add '-24' to each side of the equation.
24 + -24 + -4m = 16 + -24

Combine like terms: 24 + -24 = 0
0 + -4m = 16 + -24
-4m = 16 + -24

Combine like terms: 16 + -24 = -8
-4m = -8

Divide each side by '-4'.
m = 2

Simplifying
m = 2

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