3m-6=-2m+9

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Solution for 3m-6=-2m+9 equation:


Simplifying
3m + -6 = -2m + 9

Reorder the terms:
-6 + 3m = -2m + 9

Reorder the terms:
-6 + 3m = 9 + -2m

Solving
-6 + 3m = 9 + -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.
-6 + 3m + 2m = 9 + -2m + 2m

Combine like terms: 3m + 2m = 5m
-6 + 5m = 9 + -2m + 2m

Combine like terms: -2m + 2m = 0
-6 + 5m = 9 + 0
-6 + 5m = 9

Add '6' to each side of the equation.
-6 + 6 + 5m = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5m = 9 + 6
5m = 9 + 6

Combine like terms: 9 + 6 = 15
5m = 15

Divide each side by '5'.
m = 3

Simplifying
m = 3

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