-7m-17-2(m-2)=5m-(8m-3)-9m+5

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Solution for -7m-17-2(m-2)=5m-(8m-3)-9m+5 equation: 


Simplifying
-7m + -17 + -2(m + -2) = 5m + -1(8m + -3) + -9m + 5

Reorder the terms:
-7m + -17 + -2(-2 + m) = 5m + -1(8m + -3) + -9m + 5
-7m + -17 + (-2 * -2 + m * -2) = 5m + -1(8m + -3) + -9m + 5
-7m + -17 + (4 + -2m) = 5m + -1(8m + -3) + -9m + 5

Reorder the terms:
-17 + 4 + -7m + -2m = 5m + -1(8m + -3) + -9m + 5

Combine like terms: -17 + 4 = -13
-13 + -7m + -2m = 5m + -1(8m + -3) + -9m + 5

Combine like terms: -7m + -2m = -9m
-13 + -9m = 5m + -1(8m + -3) + -9m + 5

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

Reorder the terms:
-13 + -9m = 3 + 5 + 5m + -8m + -9m

Combine like terms: 3 + 5 = 8
-13 + -9m = 8 + 5m + -8m + -9m

Combine like terms: 5m + -8m = -3m
-13 + -9m = 8 + -3m + -9m

Combine like terms: -3m + -9m = -12m
-13 + -9m = 8 + -12m

Solving
-13 + -9m = 8 + -12m

Solving for variable 'm'.

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

Add '12m' to each side of the equation.
-13 + -9m + 12m = 8 + -12m + 12m

Combine like terms: -9m + 12m = 3m
-13 + 3m = 8 + -12m + 12m

Combine like terms: -12m + 12m = 0
-13 + 3m = 8 + 0
-13 + 3m = 8

Add '13' to each side of the equation.
-13 + 13 + 3m = 8 + 13

Combine like terms: -13 + 13 = 0
0 + 3m = 8 + 13
3m = 8 + 13

Combine like terms: 8 + 13 = 21
3m = 21

Divide each side by '3'.
m = 7

Simplifying
m = 7

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