2n+5=4n+8-m

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Solution for 2n+5=4n+8-m equation:


Simplifying
2n + 5 = 4n + 8 + -1m

Reorder the terms:
5 + 2n = 4n + 8 + -1m

Reorder the terms:
5 + 2n = 8 + -1m + 4n

Solving
5 + 2n = 8 + -1m + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
5 + 2n + -4n = 8 + -1m + 4n + -4n

Combine like terms: 2n + -4n = -2n
5 + -2n = 8 + -1m + 4n + -4n

Combine like terms: 4n + -4n = 0
5 + -2n = 8 + -1m + 0
5 + -2n = 8 + -1m

Add '-5' to each side of the equation.
5 + -5 + -2n = 8 + -5 + -1m

Combine like terms: 5 + -5 = 0
0 + -2n = 8 + -5 + -1m
-2n = 8 + -5 + -1m

Combine like terms: 8 + -5 = 3
-2n = 3 + -1m

Divide each side by '-2'.
n = -1.5 + 0.5m

Simplifying
n = -1.5 + 0.5m

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