3m+9=5m-13

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Solution for 3m+9=5m-13 equation:


Simplifying
3m + 9 = 5m + -13

Reorder the terms:
9 + 3m = 5m + -13

Reorder the terms:
9 + 3m = -13 + 5m

Solving
9 + 3m = -13 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
9 + 3m + -5m = -13 + 5m + -5m

Combine like terms: 3m + -5m = -2m
9 + -2m = -13 + 5m + -5m

Combine like terms: 5m + -5m = 0
9 + -2m = -13 + 0
9 + -2m = -13

Add '-9' to each side of the equation.
9 + -9 + -2m = -13 + -9

Combine like terms: 9 + -9 = 0
0 + -2m = -13 + -9
-2m = -13 + -9

Combine like terms: -13 + -9 = -22
-2m = -22

Divide each side by '-2'.
m = 11

Simplifying
m = 11

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