2n+5=8n+8-n

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


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

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

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

Combine like terms: 8n + -1n = 7n
5 + 2n = 8 + 7n

Solving
5 + 2n = 8 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
5 + 2n + -7n = 8 + 7n + -7n

Combine like terms: 2n + -7n = -5n
5 + -5n = 8 + 7n + -7n

Combine like terms: 7n + -7n = 0
5 + -5n = 8 + 0
5 + -5n = 8

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

Combine like terms: 5 + -5 = 0
0 + -5n = 8 + -5
-5n = 8 + -5

Combine like terms: 8 + -5 = 3
-5n = 3

Divide each side by '-5'.
n = -0.6

Simplifying
n = -0.6

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