-2m-17-3(m-4)=3m-(4m-8)-8m+7

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Solution for -2m-17-3(m-4)=3m-(4m-8)-8m+7 equation:


Simplifying
-2m + -17 + -3(m + -4) = 3m + -1(4m + -8) + -8m + 7

Reorder the terms:
-2m + -17 + -3(-4 + m) = 3m + -1(4m + -8) + -8m + 7
-2m + -17 + (-4 * -3 + m * -3) = 3m + -1(4m + -8) + -8m + 7
-2m + -17 + (12 + -3m) = 3m + -1(4m + -8) + -8m + 7

Reorder the terms:
-17 + 12 + -2m + -3m = 3m + -1(4m + -8) + -8m + 7

Combine like terms: -17 + 12 = -5
-5 + -2m + -3m = 3m + -1(4m + -8) + -8m + 7

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

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

Reorder the terms:
-5 + -5m = 8 + 7 + 3m + -4m + -8m

Combine like terms: 8 + 7 = 15
-5 + -5m = 15 + 3m + -4m + -8m

Combine like terms: 3m + -4m = -1m
-5 + -5m = 15 + -1m + -8m

Combine like terms: -1m + -8m = -9m
-5 + -5m = 15 + -9m

Solving
-5 + -5m = 15 + -9m

Solving for variable 'm'.

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

Add '9m' to each side of the equation.
-5 + -5m + 9m = 15 + -9m + 9m

Combine like terms: -5m + 9m = 4m
-5 + 4m = 15 + -9m + 9m

Combine like terms: -9m + 9m = 0
-5 + 4m = 15 + 0
-5 + 4m = 15

Add '5' to each side of the equation.
-5 + 5 + 4m = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 4m = 15 + 5
4m = 15 + 5

Combine like terms: 15 + 5 = 20
4m = 20

Divide each side by '4'.
m = 5

Simplifying
m = 5

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