5m-6n=2m+15

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Solution for 5m-6n=2m+15 equation:


Simplifying
5m + -6n = 2m + 15

Reorder the terms:
5m + -6n = 15 + 2m

Solving
5m + -6n = 15 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
5m + -2m + -6n = 15 + 2m + -2m

Combine like terms: 5m + -2m = 3m
3m + -6n = 15 + 2m + -2m

Combine like terms: 2m + -2m = 0
3m + -6n = 15 + 0
3m + -6n = 15

Add '6n' to each side of the equation.
3m + -6n + 6n = 15 + 6n

Combine like terms: -6n + 6n = 0
3m + 0 = 15 + 6n
3m = 15 + 6n

Divide each side by '3'.
m = 5 + 2n

Simplifying
m = 5 + 2n

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