2(n+4)=8-3(2n-8)

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Solution for 2(n+4)=8-3(2n-8) equation: 


Simplifying
2(n + 4) = 8 + -3(2n + -8)

Reorder the terms:
2(4 + n) = 8 + -3(2n + -8)
(4 * 2 + n * 2) = 8 + -3(2n + -8)
(8 + 2n) = 8 + -3(2n + -8)

Reorder the terms:
8 + 2n = 8 + -3(-8 + 2n)
8 + 2n = 8 + (-8 * -3 + 2n * -3)
8 + 2n = 8 + (24 + -6n)

Combine like terms: 8 + 24 = 32
8 + 2n = 32 + -6n

Solving
8 + 2n = 32 + -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 + 2n + 6n = 32 + -6n + 6n

Combine like terms: 2n + 6n = 8n
8 + 8n = 32 + -6n + 6n

Combine like terms: -6n + 6n = 0
8 + 8n = 32 + 0
8 + 8n = 32

Add '-8' to each side of the equation.
8 + -8 + 8n = 32 + -8

Combine like terms: 8 + -8 = 0
0 + 8n = 32 + -8
8n = 32 + -8

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

Divide each side by '8'.
n = 3

Simplifying
n = 3

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