-8m+39-4(m-1)=6m-(3m-2)-5m+1

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Solution for -8m+39-4(m-1)=6m-(3m-2)-5m+1 equation:


Simplifying
-8m + 39 + -4(m + -1) = 6m + -1(3m + -2) + -5m + 1

Reorder the terms:
-8m + 39 + -4(-1 + m) = 6m + -1(3m + -2) + -5m + 1
-8m + 39 + (-1 * -4 + m * -4) = 6m + -1(3m + -2) + -5m + 1
-8m + 39 + (4 + -4m) = 6m + -1(3m + -2) + -5m + 1

Reorder the terms:
39 + 4 + -8m + -4m = 6m + -1(3m + -2) + -5m + 1

Combine like terms: 39 + 4 = 43
43 + -8m + -4m = 6m + -1(3m + -2) + -5m + 1

Combine like terms: -8m + -4m = -12m
43 + -12m = 6m + -1(3m + -2) + -5m + 1

Reorder the terms:
43 + -12m = 6m + -1(-2 + 3m) + -5m + 1
43 + -12m = 6m + (-2 * -1 + 3m * -1) + -5m + 1
43 + -12m = 6m + (2 + -3m) + -5m + 1

Reorder the terms:
43 + -12m = 2 + 1 + 6m + -3m + -5m

Combine like terms: 2 + 1 = 3
43 + -12m = 3 + 6m + -3m + -5m

Combine like terms: 6m + -3m = 3m
43 + -12m = 3 + 3m + -5m

Combine like terms: 3m + -5m = -2m
43 + -12m = 3 + -2m

Solving
43 + -12m = 3 + -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.
43 + -12m + 2m = 3 + -2m + 2m

Combine like terms: -12m + 2m = -10m
43 + -10m = 3 + -2m + 2m

Combine like terms: -2m + 2m = 0
43 + -10m = 3 + 0
43 + -10m = 3

Add '-43' to each side of the equation.
43 + -43 + -10m = 3 + -43

Combine like terms: 43 + -43 = 0
0 + -10m = 3 + -43
-10m = 3 + -43

Combine like terms: 3 + -43 = -40
-10m = -40

Divide each side by '-10'.
m = 4

Simplifying
m = 4

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