2(2+7m)+(1-6m)=7m-8m

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Solution for 2(2+7m)+(1-6m)=7m-8m equation:


Simplifying
2(2 + 7m) + (1 + -6m) = 7m + -8m
(2 * 2 + 7m * 2) + (1 + -6m) = 7m + -8m
(4 + 14m) + (1 + -6m) = 7m + -8m

Remove parenthesis around (1 + -6m)
4 + 14m + 1 + -6m = 7m + -8m

Reorder the terms:
4 + 1 + 14m + -6m = 7m + -8m

Combine like terms: 4 + 1 = 5
5 + 14m + -6m = 7m + -8m

Combine like terms: 14m + -6m = 8m
5 + 8m = 7m + -8m

Combine like terms: 7m + -8m = -1m
5 + 8m = -1m

Solving
5 + 8m = -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
5 + 8m + m = -1m + m

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

Combine like terms: -1m + m = 0
5 + 9m = 0

Add '-5' to each side of the equation.
5 + -5 + 9m = 0 + -5

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

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

Divide each side by '9'.
m = -0.5555555556

Simplifying
m = -0.5555555556

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