6+(5n+2)=2n-8

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Solution for 6+(5n+2)=2n-8 equation: 


Simplifying
6 + (5n + 2) = 2n + -8

Reorder the terms:
6 + (2 + 5n) = 2n + -8

Remove parenthesis around (2 + 5n)
6 + 2 + 5n = 2n + -8

Combine like terms: 6 + 2 = 8
8 + 5n = 2n + -8

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

Solving
8 + 5n = -8 + 2n

Solving for variable 'n'.

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

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

Combine like terms: 5n + -2n = 3n
8 + 3n = -8 + 2n + -2n

Combine like terms: 2n + -2n = 0
8 + 3n = -8 + 0
8 + 3n = -8

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

Combine like terms: 8 + -8 = 0
0 + 3n = -8 + -8
3n = -8 + -8

Combine like terms: -8 + -8 = -16
3n = -16

Divide each side by '3'.
n = -5.333333333

Simplifying
n = -5.333333333

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