3m+13=42-9m

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Solution for 3m+13=42-9m equation:


Simplifying
3m + 13 = 42 + -9m

Reorder the terms:
13 + 3m = 42 + -9m

Solving
13 + 3m = 42 + -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.
13 + 3m + 9m = 42 + -9m + 9m

Combine like terms: 3m + 9m = 12m
13 + 12m = 42 + -9m + 9m

Combine like terms: -9m + 9m = 0
13 + 12m = 42 + 0
13 + 12m = 42

Add '-13' to each side of the equation.
13 + -13 + 12m = 42 + -13

Combine like terms: 13 + -13 = 0
0 + 12m = 42 + -13
12m = 42 + -13

Combine like terms: 42 + -13 = 29
12m = 29

Divide each side by '12'.
m = 2.416666667

Simplifying
m = 2.416666667

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