10m+7-7m=8m+2-6m-5

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Solution for 10m+7-7m=8m+2-6m-5 equation:


Simplifying
10m + 7 + -7m = 8m + 2 + -6m + -5

Reorder the terms:
7 + 10m + -7m = 8m + 2 + -6m + -5

Combine like terms: 10m + -7m = 3m
7 + 3m = 8m + 2 + -6m + -5

Reorder the terms:
7 + 3m = 2 + -5 + 8m + -6m

Combine like terms: 2 + -5 = -3
7 + 3m = -3 + 8m + -6m

Combine like terms: 8m + -6m = 2m
7 + 3m = -3 + 2m

Solving
7 + 3m = -3 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
7 + 3m + -2m = -3 + 2m + -2m

Combine like terms: 3m + -2m = 1m
7 + 1m = -3 + 2m + -2m

Combine like terms: 2m + -2m = 0
7 + 1m = -3 + 0
7 + 1m = -3

Add '-7' to each side of the equation.
7 + -7 + 1m = -3 + -7

Combine like terms: 7 + -7 = 0
0 + 1m = -3 + -7
1m = -3 + -7

Combine like terms: -3 + -7 = -10
1m = -10

Divide each side by '1'.
m = -10

Simplifying
m = -10

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