2m+13=3m-7

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Solution for 2m+13=3m-7 equation:


Simplifying
2m + 13 = 3m + -7

Reorder the terms:
13 + 2m = 3m + -7

Reorder the terms:
13 + 2m = -7 + 3m

Solving
13 + 2m = -7 + 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.
13 + 2m + -3m = -7 + 3m + -3m

Combine like terms: 2m + -3m = -1m
13 + -1m = -7 + 3m + -3m

Combine like terms: 3m + -3m = 0
13 + -1m = -7 + 0
13 + -1m = -7

Add '-13' to each side of the equation.
13 + -13 + -1m = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -1m = -7 + -13
-1m = -7 + -13

Combine like terms: -7 + -13 = -20
-1m = -20

Divide each side by '-1'.
m = 20

Simplifying
m = 20

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