-3m-7-8(m-4)=6m-(9m-4)-5m+6

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Solution for -3m-7-8(m-4)=6m-(9m-4)-5m+6 equation: 


Simplifying
-3m + -7 + -8(m + -4) = 6m + -1(9m + -4) + -5m + 6

Reorder the terms:
-3m + -7 + -8(-4 + m) = 6m + -1(9m + -4) + -5m + 6
-3m + -7 + (-4 * -8 + m * -8) = 6m + -1(9m + -4) + -5m + 6
-3m + -7 + (32 + -8m) = 6m + -1(9m + -4) + -5m + 6

Reorder the terms:
-7 + 32 + -3m + -8m = 6m + -1(9m + -4) + -5m + 6

Combine like terms: -7 + 32 = 25
25 + -3m + -8m = 6m + -1(9m + -4) + -5m + 6

Combine like terms: -3m + -8m = -11m
25 + -11m = 6m + -1(9m + -4) + -5m + 6

Reorder the terms:
25 + -11m = 6m + -1(-4 + 9m) + -5m + 6
25 + -11m = 6m + (-4 * -1 + 9m * -1) + -5m + 6
25 + -11m = 6m + (4 + -9m) + -5m + 6

Reorder the terms:
25 + -11m = 4 + 6 + 6m + -9m + -5m

Combine like terms: 4 + 6 = 10
25 + -11m = 10 + 6m + -9m + -5m

Combine like terms: 6m + -9m = -3m
25 + -11m = 10 + -3m + -5m

Combine like terms: -3m + -5m = -8m
25 + -11m = 10 + -8m

Solving
25 + -11m = 10 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
25 + -11m + 8m = 10 + -8m + 8m

Combine like terms: -11m + 8m = -3m
25 + -3m = 10 + -8m + 8m

Combine like terms: -8m + 8m = 0
25 + -3m = 10 + 0
25 + -3m = 10

Add '-25' to each side of the equation.
25 + -25 + -3m = 10 + -25

Combine like terms: 25 + -25 = 0
0 + -3m = 10 + -25
-3m = 10 + -25

Combine like terms: 10 + -25 = -15
-3m = -15

Divide each side by '-3'.
m = 5

Simplifying
m = 5

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