-5m+2+8m=2m+1

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Solution for -5m+2+8m=2m+1 equation:


Simplifying
-5m + 2 + 8m = 2m + 1

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

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

Reorder the terms:
2 + 3m = 1 + 2m

Solving
2 + 3m = 1 + 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.
2 + 3m + -2m = 1 + 2m + -2m

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

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

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

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

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

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

Simplifying
m = -1

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