-4m+5-9(m-5)=6m-(8m-8)-5m+6

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Solution for -4m+5-9(m-5)=6m-(8m-8)-5m+6 equation: 


Simplifying
-4m + 5 + -9(m + -5) = 6m + -1(8m + -8) + -5m + 6

Reorder the terms:
-4m + 5 + -9(-5 + m) = 6m + -1(8m + -8) + -5m + 6
-4m + 5 + (-5 * -9 + m * -9) = 6m + -1(8m + -8) + -5m + 6
-4m + 5 + (45 + -9m) = 6m + -1(8m + -8) + -5m + 6

Reorder the terms:
5 + 45 + -4m + -9m = 6m + -1(8m + -8) + -5m + 6

Combine like terms: 5 + 45 = 50
50 + -4m + -9m = 6m + -1(8m + -8) + -5m + 6

Combine like terms: -4m + -9m = -13m
50 + -13m = 6m + -1(8m + -8) + -5m + 6

Reorder the terms:
50 + -13m = 6m + -1(-8 + 8m) + -5m + 6
50 + -13m = 6m + (-8 * -1 + 8m * -1) + -5m + 6
50 + -13m = 6m + (8 + -8m) + -5m + 6

Reorder the terms:
50 + -13m = 8 + 6 + 6m + -8m + -5m

Combine like terms: 8 + 6 = 14
50 + -13m = 14 + 6m + -8m + -5m

Combine like terms: 6m + -8m = -2m
50 + -13m = 14 + -2m + -5m

Combine like terms: -2m + -5m = -7m
50 + -13m = 14 + -7m

Solving
50 + -13m = 14 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
50 + -13m + 7m = 14 + -7m + 7m

Combine like terms: -13m + 7m = -6m
50 + -6m = 14 + -7m + 7m

Combine like terms: -7m + 7m = 0
50 + -6m = 14 + 0
50 + -6m = 14

Add '-50' to each side of the equation.
50 + -50 + -6m = 14 + -50

Combine like terms: 50 + -50 = 0
0 + -6m = 14 + -50
-6m = 14 + -50

Combine like terms: 14 + -50 = -36
-6m = -36

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

Simplifying
m = 6

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