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

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


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

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

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

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

Solving
8 + 4n = 6 + 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 = 6 + 6n + -6n

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

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

Add '-8' to each side of the equation.
8 + -8 + -2n = 6 + -8

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

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

Divide each side by '-2'.
n = 1

Simplifying
n = 1

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