3m+4-5m=12+m-2

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Solution for 3m+4-5m=12+m-2 equation: 


Simplifying
3m + 4 + -5m = 12 + m + -2

Reorder the terms:
4 + 3m + -5m = 12 + m + -2

Combine like terms: 3m + -5m = -2m
4 + -2m = 12 + m + -2

Reorder the terms:
4 + -2m = 12 + -2 + m

Combine like terms: 12 + -2 = 10
4 + -2m = 10 + m

Solving
4 + -2m = 10 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
4 + -2m + -1m = 10 + m + -1m

Combine like terms: -2m + -1m = -3m
4 + -3m = 10 + m + -1m

Combine like terms: m + -1m = 0
4 + -3m = 10 + 0
4 + -3m = 10

Add '-4' to each side of the equation.
4 + -4 + -3m = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -3m = 10 + -4
-3m = 10 + -4

Combine like terms: 10 + -4 = 6
-3m = 6

Divide each side by '-3'.
m = -2

Simplifying
m = -2

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