3m+2=m-6

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Solution for 3m+2=m-6 equation:


Simplifying
3m + 2 = m + -6

Reorder the terms:
2 + 3m = m + -6

Reorder the terms:
2 + 3m = -6 + m

Solving
2 + 3m = -6 + 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.
2 + 3m + -1m = -6 + m + -1m

Combine like terms: 3m + -1m = 2m
2 + 2m = -6 + m + -1m

Combine like terms: m + -1m = 0
2 + 2m = -6 + 0
2 + 2m = -6

Add '-2' to each side of the equation.
2 + -2 + 2m = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 2m = -6 + -2
2m = -6 + -2

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

Divide each side by '2'.
m = -4

Simplifying
m = -4

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