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

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Solution for 5(n+2)=2-3(n-8) equation: 


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

Reorder the terms:
5(2 + n) = 2 + -3(n + -8)
(2 * 5 + n * 5) = 2 + -3(n + -8)
(10 + 5n) = 2 + -3(n + -8)

Reorder the terms:
10 + 5n = 2 + -3(-8 + n)
10 + 5n = 2 + (-8 * -3 + n * -3)
10 + 5n = 2 + (24 + -3n)

Combine like terms: 2 + 24 = 26
10 + 5n = 26 + -3n

Solving
10 + 5n = 26 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
10 + 5n + 3n = 26 + -3n + 3n

Combine like terms: 5n + 3n = 8n
10 + 8n = 26 + -3n + 3n

Combine like terms: -3n + 3n = 0
10 + 8n = 26 + 0
10 + 8n = 26

Add '-10' to each side of the equation.
10 + -10 + 8n = 26 + -10

Combine like terms: 10 + -10 = 0
0 + 8n = 26 + -10
8n = 26 + -10

Combine like terms: 26 + -10 = 16
8n = 16

Divide each side by '8'.
n = 2

Simplifying
n = 2

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