3m-7=m+13

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


Simplifying
3m + -7 = m + 13

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

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

Solving
-7 + 3m = 13 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-7 + 3m + -1m = 13 + m + -1m

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

Combine like terms: m + -1m = 0
-7 + 2m = 13 + 0
-7 + 2m = 13

Add '7' to each side of the equation.
-7 + 7 + 2m = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 2m = 13 + 7
2m = 13 + 7

Combine like terms: 13 + 7 = 20
2m = 20

Divide each side by '2'.
m = 10

Simplifying
m = 10

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