-7m+34-3(m-2)=9m-(6m-2)-2m+5

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Solution for -7m+34-3(m-2)=9m-(6m-2)-2m+5 equation: 


Simplifying
-7m + 34 + -3(m + -2) = 9m + -1(6m + -2) + -2m + 5

Reorder the terms:
-7m + 34 + -3(-2 + m) = 9m + -1(6m + -2) + -2m + 5
-7m + 34 + (-2 * -3 + m * -3) = 9m + -1(6m + -2) + -2m + 5
-7m + 34 + (6 + -3m) = 9m + -1(6m + -2) + -2m + 5

Reorder the terms:
34 + 6 + -7m + -3m = 9m + -1(6m + -2) + -2m + 5

Combine like terms: 34 + 6 = 40
40 + -7m + -3m = 9m + -1(6m + -2) + -2m + 5

Combine like terms: -7m + -3m = -10m
40 + -10m = 9m + -1(6m + -2) + -2m + 5

Reorder the terms:
40 + -10m = 9m + -1(-2 + 6m) + -2m + 5
40 + -10m = 9m + (-2 * -1 + 6m * -1) + -2m + 5
40 + -10m = 9m + (2 + -6m) + -2m + 5

Reorder the terms:
40 + -10m = 2 + 5 + 9m + -6m + -2m

Combine like terms: 2 + 5 = 7
40 + -10m = 7 + 9m + -6m + -2m

Combine like terms: 9m + -6m = 3m
40 + -10m = 7 + 3m + -2m

Combine like terms: 3m + -2m = 1m
40 + -10m = 7 + 1m

Solving
40 + -10m = 7 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
40 + -10m + -1m = 7 + 1m + -1m

Combine like terms: -10m + -1m = -11m
40 + -11m = 7 + 1m + -1m

Combine like terms: 1m + -1m = 0
40 + -11m = 7 + 0
40 + -11m = 7

Add '-40' to each side of the equation.
40 + -40 + -11m = 7 + -40

Combine like terms: 40 + -40 = 0
0 + -11m = 7 + -40
-11m = 7 + -40

Combine like terms: 7 + -40 = -33
-11m = -33

Divide each side by '-11'.
m = 3

Simplifying
m = 3

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