2n+2.5=4n+8-n

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Solution for 2n+2.5=4n+8-n equation: 


Simplifying
2n + 2.5 = 4n + 8 + -1n

Reorder the terms:
2.5 + 2n = 4n + 8 + -1n

Reorder the terms:
2.5 + 2n = 8 + 4n + -1n

Combine like terms: 4n + -1n = 3n
2.5 + 2n = 8 + 3n

Solving
2.5 + 2n = 8 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
2.5 + 2n + -3n = 8 + 3n + -3n

Combine like terms: 2n + -3n = -1n
2.5 + -1n = 8 + 3n + -3n

Combine like terms: 3n + -3n = 0
2.5 + -1n = 8 + 0
2.5 + -1n = 8

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -1n = 8 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1n = 8 + -2.5
-1n = 8 + -2.5

Combine like terms: 8 + -2.5 = 5.5
-1n = 5.5

Divide each side by '-1'.
n = -5.5

Simplifying
n = -5.5

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