5m-n=m-7n

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Solution for 5m-n=m-7n equation:


Simplifying
5m + -1n = m + -7n

Solving
5m + -1n = m + -7n

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.
5m + -1m + -1n = m + -1m + -7n

Combine like terms: 5m + -1m = 4m
4m + -1n = m + -1m + -7n

Combine like terms: m + -1m = 0
4m + -1n = 0 + -7n
4m + -1n = -7n

Add 'n' to each side of the equation.
4m + -1n + n = -7n + n

Combine like terms: -1n + n = 0
4m + 0 = -7n + n
4m = -7n + n

Combine like terms: -7n + n = -6n
4m = -6n

Divide each side by '4'.
m = -1.5n

Simplifying
m = -1.5n

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