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

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


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

Reorder the terms:
2(8 + n) = 8 + -6(n + -8)
(8 * 2 + n * 2) = 8 + -6(n + -8)
(16 + 2n) = 8 + -6(n + -8)

Reorder the terms:
16 + 2n = 8 + -6(-8 + n)
16 + 2n = 8 + (-8 * -6 + n * -6)
16 + 2n = 8 + (48 + -6n)

Combine like terms: 8 + 48 = 56
16 + 2n = 56 + -6n

Solving
16 + 2n = 56 + -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.
16 + 2n + 6n = 56 + -6n + 6n

Combine like terms: 2n + 6n = 8n
16 + 8n = 56 + -6n + 6n

Combine like terms: -6n + 6n = 0
16 + 8n = 56 + 0
16 + 8n = 56

Add '-16' to each side of the equation.
16 + -16 + 8n = 56 + -16

Combine like terms: 16 + -16 = 0
0 + 8n = 56 + -16
8n = 56 + -16

Combine like terms: 56 + -16 = 40
8n = 40

Divide each side by '8'.
n = 5

Simplifying
n = 5

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