-8m+42-3(m-4)=6m-(3m-7)-5m+2

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Solution for -8m+42-3(m-4)=6m-(3m-7)-5m+2 equation: 


Simplifying
-8m + 42 + -3(m + -4) = 6m + -1(3m + -7) + -5m + 2

Reorder the terms:
-8m + 42 + -3(-4 + m) = 6m + -1(3m + -7) + -5m + 2
-8m + 42 + (-4 * -3 + m * -3) = 6m + -1(3m + -7) + -5m + 2
-8m + 42 + (12 + -3m) = 6m + -1(3m + -7) + -5m + 2

Reorder the terms:
42 + 12 + -8m + -3m = 6m + -1(3m + -7) + -5m + 2

Combine like terms: 42 + 12 = 54
54 + -8m + -3m = 6m + -1(3m + -7) + -5m + 2

Combine like terms: -8m + -3m = -11m
54 + -11m = 6m + -1(3m + -7) + -5m + 2

Reorder the terms:
54 + -11m = 6m + -1(-7 + 3m) + -5m + 2
54 + -11m = 6m + (-7 * -1 + 3m * -1) + -5m + 2
54 + -11m = 6m + (7 + -3m) + -5m + 2

Reorder the terms:
54 + -11m = 7 + 2 + 6m + -3m + -5m

Combine like terms: 7 + 2 = 9
54 + -11m = 9 + 6m + -3m + -5m

Combine like terms: 6m + -3m = 3m
54 + -11m = 9 + 3m + -5m

Combine like terms: 3m + -5m = -2m
54 + -11m = 9 + -2m

Solving
54 + -11m = 9 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
54 + -11m + 2m = 9 + -2m + 2m

Combine like terms: -11m + 2m = -9m
54 + -9m = 9 + -2m + 2m

Combine like terms: -2m + 2m = 0
54 + -9m = 9 + 0
54 + -9m = 9

Add '-54' to each side of the equation.
54 + -54 + -9m = 9 + -54

Combine like terms: 54 + -54 = 0
0 + -9m = 9 + -54
-9m = 9 + -54

Combine like terms: 9 + -54 = -45
-9m = -45

Divide each side by '-9'.
m = 5

Simplifying
m = 5

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