-8m+84-8(m-1)=6m-(5m-9)-4m+5

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Solution for -8m+84-8(m-1)=6m-(5m-9)-4m+5 equation: 


Simplifying
-8m + 84 + -8(m + -1) = 6m + -1(5m + -9) + -4m + 5

Reorder the terms:
-8m + 84 + -8(-1 + m) = 6m + -1(5m + -9) + -4m + 5
-8m + 84 + (-1 * -8 + m * -8) = 6m + -1(5m + -9) + -4m + 5
-8m + 84 + (8 + -8m) = 6m + -1(5m + -9) + -4m + 5

Reorder the terms:
84 + 8 + -8m + -8m = 6m + -1(5m + -9) + -4m + 5

Combine like terms: 84 + 8 = 92
92 + -8m + -8m = 6m + -1(5m + -9) + -4m + 5

Combine like terms: -8m + -8m = -16m
92 + -16m = 6m + -1(5m + -9) + -4m + 5

Reorder the terms:
92 + -16m = 6m + -1(-9 + 5m) + -4m + 5
92 + -16m = 6m + (-9 * -1 + 5m * -1) + -4m + 5
92 + -16m = 6m + (9 + -5m) + -4m + 5

Reorder the terms:
92 + -16m = 9 + 5 + 6m + -5m + -4m

Combine like terms: 9 + 5 = 14
92 + -16m = 14 + 6m + -5m + -4m

Combine like terms: 6m + -5m = 1m
92 + -16m = 14 + 1m + -4m

Combine like terms: 1m + -4m = -3m
92 + -16m = 14 + -3m

Solving
92 + -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.
92 + -16m + 3m = 14 + -3m + 3m

Combine like terms: -16m + 3m = -13m
92 + -13m = 14 + -3m + 3m

Combine like terms: -3m + 3m = 0
92 + -13m = 14 + 0
92 + -13m = 14

Add '-92' to each side of the equation.
92 + -92 + -13m = 14 + -92

Combine like terms: 92 + -92 = 0
0 + -13m = 14 + -92
-13m = 14 + -92

Combine like terms: 14 + -92 = -78
-13m = -78

Divide each side by '-13'.
m = 6

Simplifying
m = 6

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