6m+7=9m-2

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Solution for 6m+7=9m-2 equation:


Simplifying
6m + 7 = 9m + -2

Reorder the terms:
7 + 6m = 9m + -2

Reorder the terms:
7 + 6m = -2 + 9m

Solving
7 + 6m = -2 + 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.
7 + 6m + -9m = -2 + 9m + -9m

Combine like terms: 6m + -9m = -3m
7 + -3m = -2 + 9m + -9m

Combine like terms: 9m + -9m = 0
7 + -3m = -2 + 0
7 + -3m = -2

Add '-7' to each side of the equation.
7 + -7 + -3m = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -3m = -2 + -7
-3m = -2 + -7

Combine like terms: -2 + -7 = -9
-3m = -9

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

Simplifying
m = 3

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