3m+2=9m-16

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Solution for 3m+2=9m-16 equation:


Simplifying
3m + 2 = 9m + -16

Reorder the terms:
2 + 3m = 9m + -16

Reorder the terms:
2 + 3m = -16 + 9m

Solving
2 + 3m = -16 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
2 + 3m + -9m = -16 + 9m + -9m

Combine like terms: 3m + -9m = -6m
2 + -6m = -16 + 9m + -9m

Combine like terms: 9m + -9m = 0
2 + -6m = -16 + 0
2 + -6m = -16

Add '-2' to each side of the equation.
2 + -2 + -6m = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -6m = -16 + -2
-6m = -16 + -2

Combine like terms: -16 + -2 = -18
-6m = -18

Divide each side by '-6'.
m = 3

Simplifying
m = 3

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