3(n+4)=6-3(n-8)

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Solution for 3(n+4)=6-3(n-8) equation:


Simplifying
3(n + 4) = 6 + -3(n + -8)

Reorder the terms:
3(4 + n) = 6 + -3(n + -8)
(4 * 3 + n * 3) = 6 + -3(n + -8)
(12 + 3n) = 6 + -3(n + -8)

Reorder the terms:
12 + 3n = 6 + -3(-8 + n)
12 + 3n = 6 + (-8 * -3 + n * -3)
12 + 3n = 6 + (24 + -3n)

Combine like terms: 6 + 24 = 30
12 + 3n = 30 + -3n

Solving
12 + 3n = 30 + -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.
12 + 3n + 3n = 30 + -3n + 3n

Combine like terms: 3n + 3n = 6n
12 + 6n = 30 + -3n + 3n

Combine like terms: -3n + 3n = 0
12 + 6n = 30 + 0
12 + 6n = 30

Add '-12' to each side of the equation.
12 + -12 + 6n = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 6n = 30 + -12
6n = 30 + -12

Combine like terms: 30 + -12 = 18
6n = 18

Divide each side by '6'.
n = 3

Simplifying
n = 3

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