-8m+112-8(m-2)=9m-(2m-9)-4m+5

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Solution for -8m+112-8(m-2)=9m-(2m-9)-4m+5 equation: 


Simplifying
-8m + 112 + -8(m + -2) = 9m + -1(2m + -9) + -4m + 5

Reorder the terms:
-8m + 112 + -8(-2 + m) = 9m + -1(2m + -9) + -4m + 5
-8m + 112 + (-2 * -8 + m * -8) = 9m + -1(2m + -9) + -4m + 5
-8m + 112 + (16 + -8m) = 9m + -1(2m + -9) + -4m + 5

Reorder the terms:
112 + 16 + -8m + -8m = 9m + -1(2m + -9) + -4m + 5

Combine like terms: 112 + 16 = 128
128 + -8m + -8m = 9m + -1(2m + -9) + -4m + 5

Combine like terms: -8m + -8m = -16m
128 + -16m = 9m + -1(2m + -9) + -4m + 5

Reorder the terms:
128 + -16m = 9m + -1(-9 + 2m) + -4m + 5
128 + -16m = 9m + (-9 * -1 + 2m * -1) + -4m + 5
128 + -16m = 9m + (9 + -2m) + -4m + 5

Reorder the terms:
128 + -16m = 9 + 5 + 9m + -2m + -4m

Combine like terms: 9 + 5 = 14
128 + -16m = 14 + 9m + -2m + -4m

Combine like terms: 9m + -2m = 7m
128 + -16m = 14 + 7m + -4m

Combine like terms: 7m + -4m = 3m
128 + -16m = 14 + 3m

Solving
128 + -16m = 14 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
128 + -16m + -3m = 14 + 3m + -3m

Combine like terms: -16m + -3m = -19m
128 + -19m = 14 + 3m + -3m

Combine like terms: 3m + -3m = 0
128 + -19m = 14 + 0
128 + -19m = 14

Add '-128' to each side of the equation.
128 + -128 + -19m = 14 + -128

Combine like terms: 128 + -128 = 0
0 + -19m = 14 + -128
-19m = 14 + -128

Combine like terms: 14 + -128 = -114
-19m = -114

Divide each side by '-19'.
m = 6

Simplifying
m = 6

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