-8m+47-6(m-2)=6m-(5m-9)-3m+2

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Solution for -8m+47-6(m-2)=6m-(5m-9)-3m+2 equation:


Simplifying
-8m + 47 + -6(m + -2) = 6m + -1(5m + -9) + -3m + 2

Reorder the terms:
-8m + 47 + -6(-2 + m) = 6m + -1(5m + -9) + -3m + 2
-8m + 47 + (-2 * -6 + m * -6) = 6m + -1(5m + -9) + -3m + 2
-8m + 47 + (12 + -6m) = 6m + -1(5m + -9) + -3m + 2

Reorder the terms:
47 + 12 + -8m + -6m = 6m + -1(5m + -9) + -3m + 2

Combine like terms: 47 + 12 = 59
59 + -8m + -6m = 6m + -1(5m + -9) + -3m + 2

Combine like terms: -8m + -6m = -14m
59 + -14m = 6m + -1(5m + -9) + -3m + 2

Reorder the terms:
59 + -14m = 6m + -1(-9 + 5m) + -3m + 2
59 + -14m = 6m + (-9 * -1 + 5m * -1) + -3m + 2
59 + -14m = 6m + (9 + -5m) + -3m + 2

Reorder the terms:
59 + -14m = 9 + 2 + 6m + -5m + -3m

Combine like terms: 9 + 2 = 11
59 + -14m = 11 + 6m + -5m + -3m

Combine like terms: 6m + -5m = 1m
59 + -14m = 11 + 1m + -3m

Combine like terms: 1m + -3m = -2m
59 + -14m = 11 + -2m

Solving
59 + -14m = 11 + -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.
59 + -14m + 2m = 11 + -2m + 2m

Combine like terms: -14m + 2m = -12m
59 + -12m = 11 + -2m + 2m

Combine like terms: -2m + 2m = 0
59 + -12m = 11 + 0
59 + -12m = 11

Add '-59' to each side of the equation.
59 + -59 + -12m = 11 + -59

Combine like terms: 59 + -59 = 0
0 + -12m = 11 + -59
-12m = 11 + -59

Combine like terms: 11 + -59 = -48
-12m = -48

Divide each side by '-12'.
m = 4

Simplifying
m = 4

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