5(n+6)=6-3(n-8)

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Solution for 5(n+6)=6-3(n-8) equation:


Simplifying
5(n + 6) = 6 + -3(n + -8)

Reorder the terms:
5(6 + n) = 6 + -3(n + -8)
(6 * 5 + n * 5) = 6 + -3(n + -8)
(30 + 5n) = 6 + -3(n + -8)

Reorder the terms:
30 + 5n = 6 + -3(-8 + n)
30 + 5n = 6 + (-8 * -3 + n * -3)
30 + 5n = 6 + (24 + -3n)

Combine like terms: 6 + 24 = 30
30 + 5n = 30 + -3n

Add '-30' to each side of the equation.
30 + -30 + 5n = 30 + -30 + -3n

Combine like terms: 30 + -30 = 0
0 + 5n = 30 + -30 + -3n
5n = 30 + -30 + -3n

Combine like terms: 30 + -30 = 0
5n = 0 + -3n
5n = -3n

Solving
5n = -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.
5n + 3n = -3n + 3n

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

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

Divide each side by '8'.
n = 0

Simplifying
n = 0

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