5n+8-n=(6n-1)

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Solution for 5n+8-n=(6n-1) equation:


Simplifying
5n + 8 + -1n = (6n + -1)

Reorder the terms:
8 + 5n + -1n = (6n + -1)

Combine like terms: 5n + -1n = 4n
8 + 4n = (6n + -1)

Reorder the terms:
8 + 4n = (-1 + 6n)

Remove parenthesis around (-1 + 6n)
8 + 4n = -1 + 6n

Solving
8 + 4n = -1 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
8 + 4n + -6n = -1 + 6n + -6n

Combine like terms: 4n + -6n = -2n
8 + -2n = -1 + 6n + -6n

Combine like terms: 6n + -6n = 0
8 + -2n = -1 + 0
8 + -2n = -1

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

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

Combine like terms: -1 + -8 = -9
-2n = -9

Divide each side by '-2'.
n = 4.5

Simplifying
n = 4.5

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