2m+9=3m-15+7

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Solution for 2m+9=3m-15+7 equation:


Simplifying
2m + 9 = 3m + -15 + 7

Reorder the terms:
9 + 2m = 3m + -15 + 7

Reorder the terms:
9 + 2m = -15 + 7 + 3m

Combine like terms: -15 + 7 = -8
9 + 2m = -8 + 3m

Solving
9 + 2m = -8 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
9 + 2m + -3m = -8 + 3m + -3m

Combine like terms: 2m + -3m = -1m
9 + -1m = -8 + 3m + -3m

Combine like terms: 3m + -3m = 0
9 + -1m = -8 + 0
9 + -1m = -8

Add '-9' to each side of the equation.
9 + -9 + -1m = -8 + -9

Combine like terms: 9 + -9 = 0
0 + -1m = -8 + -9
-1m = -8 + -9

Combine like terms: -8 + -9 = -17
-1m = -17

Divide each side by '-1'.
m = 17

Simplifying
m = 17

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