5n+2n+m=2m-4

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Solution for 5n+2n+m=2m-4 equation:


Simplifying
5n + 2n + m = 2m + -4

Reorder the terms:
m + 5n + 2n = 2m + -4

Combine like terms: 5n + 2n = 7n
m + 7n = 2m + -4

Reorder the terms:
m + 7n = -4 + 2m

Solving
m + 7n = -4 + 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.
m + -2m + 7n = -4 + 2m + -2m

Combine like terms: m + -2m = -1m
-1m + 7n = -4 + 2m + -2m

Combine like terms: 2m + -2m = 0
-1m + 7n = -4 + 0
-1m + 7n = -4

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

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

Divide each side by '-1'.
m = 4 + 7n

Simplifying
m = 4 + 7n

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