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

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Solution for -2m-7-9(m-1)=3m-(7m-5)-9m+3 equation: 


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

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

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

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

Combine like terms: -2m + -9m = -11m
2 + -11m = 3m + -1(7m + -5) + -9m + 3

Reorder the terms:
2 + -11m = 3m + -1(-5 + 7m) + -9m + 3
2 + -11m = 3m + (-5 * -1 + 7m * -1) + -9m + 3
2 + -11m = 3m + (5 + -7m) + -9m + 3

Reorder the terms:
2 + -11m = 5 + 3 + 3m + -7m + -9m

Combine like terms: 5 + 3 = 8
2 + -11m = 8 + 3m + -7m + -9m

Combine like terms: 3m + -7m = -4m
2 + -11m = 8 + -4m + -9m

Combine like terms: -4m + -9m = -13m
2 + -11m = 8 + -13m

Solving
2 + -11m = 8 + -13m

Solving for variable 'm'.

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

Add '13m' to each side of the equation.
2 + -11m + 13m = 8 + -13m + 13m

Combine like terms: -11m + 13m = 2m
2 + 2m = 8 + -13m + 13m

Combine like terms: -13m + 13m = 0
2 + 2m = 8 + 0
2 + 2m = 8

Add '-2' to each side of the equation.
2 + -2 + 2m = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 2m = 8 + -2
2m = 8 + -2

Combine like terms: 8 + -2 = 6
2m = 6

Divide each side by '2'.
m = 3

Simplifying
m = 3

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