-8m+55-3(m-2)=7m-(9m-8)-2m+4

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Solution for -8m+55-3(m-2)=7m-(9m-8)-2m+4 equation: 


Simplifying
-8m + 55 + -3(m + -2) = 7m + -1(9m + -8) + -2m + 4

Reorder the terms:
-8m + 55 + -3(-2 + m) = 7m + -1(9m + -8) + -2m + 4
-8m + 55 + (-2 * -3 + m * -3) = 7m + -1(9m + -8) + -2m + 4
-8m + 55 + (6 + -3m) = 7m + -1(9m + -8) + -2m + 4

Reorder the terms:
55 + 6 + -8m + -3m = 7m + -1(9m + -8) + -2m + 4

Combine like terms: 55 + 6 = 61
61 + -8m + -3m = 7m + -1(9m + -8) + -2m + 4

Combine like terms: -8m + -3m = -11m
61 + -11m = 7m + -1(9m + -8) + -2m + 4

Reorder the terms:
61 + -11m = 7m + -1(-8 + 9m) + -2m + 4
61 + -11m = 7m + (-8 * -1 + 9m * -1) + -2m + 4
61 + -11m = 7m + (8 + -9m) + -2m + 4

Reorder the terms:
61 + -11m = 8 + 4 + 7m + -9m + -2m

Combine like terms: 8 + 4 = 12
61 + -11m = 12 + 7m + -9m + -2m

Combine like terms: 7m + -9m = -2m
61 + -11m = 12 + -2m + -2m

Combine like terms: -2m + -2m = -4m
61 + -11m = 12 + -4m

Solving
61 + -11m = 12 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
61 + -11m + 4m = 12 + -4m + 4m

Combine like terms: -11m + 4m = -7m
61 + -7m = 12 + -4m + 4m

Combine like terms: -4m + 4m = 0
61 + -7m = 12 + 0
61 + -7m = 12

Add '-61' to each side of the equation.
61 + -61 + -7m = 12 + -61

Combine like terms: 61 + -61 = 0
0 + -7m = 12 + -61
-7m = 12 + -61

Combine like terms: 12 + -61 = -49
-7m = -49

Divide each side by '-7'.
m = 7

Simplifying
m = 7

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