-3m+13-9(m-3)=6m-(5m-4)-8m+6

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Solution for -3m+13-9(m-3)=6m-(5m-4)-8m+6 equation:


Simplifying
-3m + 13 + -9(m + -3) = 6m + -1(5m + -4) + -8m + 6

Reorder the terms:
-3m + 13 + -9(-3 + m) = 6m + -1(5m + -4) + -8m + 6
-3m + 13 + (-3 * -9 + m * -9) = 6m + -1(5m + -4) + -8m + 6
-3m + 13 + (27 + -9m) = 6m + -1(5m + -4) + -8m + 6

Reorder the terms:
13 + 27 + -3m + -9m = 6m + -1(5m + -4) + -8m + 6

Combine like terms: 13 + 27 = 40
40 + -3m + -9m = 6m + -1(5m + -4) + -8m + 6

Combine like terms: -3m + -9m = -12m
40 + -12m = 6m + -1(5m + -4) + -8m + 6

Reorder the terms:
40 + -12m = 6m + -1(-4 + 5m) + -8m + 6
40 + -12m = 6m + (-4 * -1 + 5m * -1) + -8m + 6
40 + -12m = 6m + (4 + -5m) + -8m + 6

Reorder the terms:
40 + -12m = 4 + 6 + 6m + -5m + -8m

Combine like terms: 4 + 6 = 10
40 + -12m = 10 + 6m + -5m + -8m

Combine like terms: 6m + -5m = 1m
40 + -12m = 10 + 1m + -8m

Combine like terms: 1m + -8m = -7m
40 + -12m = 10 + -7m

Solving
40 + -12m = 10 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
40 + -12m + 7m = 10 + -7m + 7m

Combine like terms: -12m + 7m = -5m
40 + -5m = 10 + -7m + 7m

Combine like terms: -7m + 7m = 0
40 + -5m = 10 + 0
40 + -5m = 10

Add '-40' to each side of the equation.
40 + -40 + -5m = 10 + -40

Combine like terms: 40 + -40 = 0
0 + -5m = 10 + -40
-5m = 10 + -40

Combine like terms: 10 + -40 = -30
-5m = -30

Divide each side by '-5'.
m = 6

Simplifying
m = 6

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