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

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


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

Reorder the terms:
5(2 + n) + 2 + -8 = 2n
(2 * 5 + n * 5) + 2 + -8 = 2n
(10 + 5n) + 2 + -8 = 2n

Reorder the terms:
10 + 2 + -8 + 5n = 2n

Combine like terms: 10 + 2 = 12
12 + -8 + 5n = 2n

Combine like terms: 12 + -8 = 4
4 + 5n = 2n

Solving
4 + 5n = 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.
4 + 5n + -2n = 2n + -2n

Combine like terms: 5n + -2n = 3n
4 + 3n = 2n + -2n

Combine like terms: 2n + -2n = 0
4 + 3n = 0

Add '-4' to each side of the equation.
4 + -4 + 3n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3n = 0 + -4
3n = 0 + -4

Combine like terms: 0 + -4 = -4
3n = -4

Divide each side by '3'.
n = -1.333333333

Simplifying
n = -1.333333333

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