2(4+2n)+2(-1n+8)=5n-8

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Solution for 2(4+2n)+2(-1n+8)=5n-8 equation: 


Simplifying
2(4 + 2n) + 2(-1n + 8) = 5n + -8
(4 * 2 + 2n * 2) + 2(-1n + 8) = 5n + -8
(8 + 4n) + 2(-1n + 8) = 5n + -8

Reorder the terms:
8 + 4n + 2(8 + -1n) = 5n + -8
8 + 4n + (8 * 2 + -1n * 2) = 5n + -8
8 + 4n + (16 + -2n) = 5n + -8

Reorder the terms:
8 + 16 + 4n + -2n = 5n + -8

Combine like terms: 8 + 16 = 24
24 + 4n + -2n = 5n + -8

Combine like terms: 4n + -2n = 2n
24 + 2n = 5n + -8

Reorder the terms:
24 + 2n = -8 + 5n

Solving
24 + 2n = -8 + 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.
24 + 2n + -5n = -8 + 5n + -5n

Combine like terms: 2n + -5n = -3n
24 + -3n = -8 + 5n + -5n

Combine like terms: 5n + -5n = 0
24 + -3n = -8 + 0
24 + -3n = -8

Add '-24' to each side of the equation.
24 + -24 + -3n = -8 + -24

Combine like terms: 24 + -24 = 0
0 + -3n = -8 + -24
-3n = -8 + -24

Combine like terms: -8 + -24 = -32
-3n = -32

Divide each side by '-3'.
n = 10.66666667

Simplifying
n = 10.66666667

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