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

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


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

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

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

Reorder the terms:
8 + 4n = 5(-1 + n)
8 + 4n = (-1 * 5 + n * 5)
8 + 4n = (-5 + 5n)

Solving
8 + 4n = -5 + 5n

Solving for variable 'n'.

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

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

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

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

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

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

Combine like terms: -5 + -8 = -13
-1n = -13

Divide each side by '-1'.
n = 13

Simplifying
n = 13

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