-3m-37-5(m-6)=6m-(9m-6)-8m+8

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Solution for -3m-37-5(m-6)=6m-(9m-6)-8m+8 equation:


Simplifying
-3m + -37 + -5(m + -6) = 6m + -1(9m + -6) + -8m + 8

Reorder the terms:
-3m + -37 + -5(-6 + m) = 6m + -1(9m + -6) + -8m + 8
-3m + -37 + (-6 * -5 + m * -5) = 6m + -1(9m + -6) + -8m + 8
-3m + -37 + (30 + -5m) = 6m + -1(9m + -6) + -8m + 8

Reorder the terms:
-37 + 30 + -3m + -5m = 6m + -1(9m + -6) + -8m + 8

Combine like terms: -37 + 30 = -7
-7 + -3m + -5m = 6m + -1(9m + -6) + -8m + 8

Combine like terms: -3m + -5m = -8m
-7 + -8m = 6m + -1(9m + -6) + -8m + 8

Reorder the terms:
-7 + -8m = 6m + -1(-6 + 9m) + -8m + 8
-7 + -8m = 6m + (-6 * -1 + 9m * -1) + -8m + 8
-7 + -8m = 6m + (6 + -9m) + -8m + 8

Reorder the terms:
-7 + -8m = 6 + 8 + 6m + -9m + -8m

Combine like terms: 6 + 8 = 14
-7 + -8m = 14 + 6m + -9m + -8m

Combine like terms: 6m + -9m = -3m
-7 + -8m = 14 + -3m + -8m

Combine like terms: -3m + -8m = -11m
-7 + -8m = 14 + -11m

Solving
-7 + -8m = 14 + -11m

Solving for variable 'm'.

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

Add '11m' to each side of the equation.
-7 + -8m + 11m = 14 + -11m + 11m

Combine like terms: -8m + 11m = 3m
-7 + 3m = 14 + -11m + 11m

Combine like terms: -11m + 11m = 0
-7 + 3m = 14 + 0
-7 + 3m = 14

Add '7' to each side of the equation.
-7 + 7 + 3m = 14 + 7

Combine like terms: -7 + 7 = 0
0 + 3m = 14 + 7
3m = 14 + 7

Combine like terms: 14 + 7 = 21
3m = 21

Divide each side by '3'.
m = 7

Simplifying
m = 7

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