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

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


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

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

Combine like terms: 7 + -6 = 1
1 + 2m = 8m + 2 + -5m

Reorder the terms:
1 + 2m = 2 + 8m + -5m

Combine like terms: 8m + -5m = 3m
1 + 2m = 2 + 3m

Solving
1 + 2m = 2 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
1 + 2m + -3m = 2 + 3m + -3m

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

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

Add '-1' to each side of the equation.
1 + -1 + -1m = 2 + -1

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

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

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

Simplifying
m = -1

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