4n+m=3m-2

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Solution for 4n+m=3m-2 equation:


Simplifying
4n + m = 3m + -2

Reorder the terms:
m + 4n = 3m + -2

Reorder the terms:
m + 4n = -2 + 3m

Solving
m + 4n = -2 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
m + -3m + 4n = -2 + 3m + -3m

Combine like terms: m + -3m = -2m
-2m + 4n = -2 + 3m + -3m

Combine like terms: 3m + -3m = 0
-2m + 4n = -2 + 0
-2m + 4n = -2

Add '-4n' to each side of the equation.
-2m + 4n + -4n = -2 + -4n

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

Divide each side by '-2'.
m = 1 + 2n

Simplifying
m = 1 + 2n

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