3n+8=(n-5)+6

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Solution for 3n+8=(n-5)+6 equation:


Simplifying
3n + 8 = (n + -5) + 6

Reorder the terms:
8 + 3n = (n + -5) + 6

Reorder the terms:
8 + 3n = (-5 + n) + 6

Remove parenthesis around (-5 + n)
8 + 3n = -5 + n + 6

Reorder the terms:
8 + 3n = -5 + 6 + n

Combine like terms: -5 + 6 = 1
8 + 3n = 1 + n

Solving
8 + 3n = 1 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
8 + 3n + -1n = 1 + n + -1n

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

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

Divide each side by '2'.
n = -3.5

Simplifying
n = -3.5

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