3(-2+12)=8-2(n-8)

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Solution for 3(-2+12)=8-2(n-8) equation: 


Simplifying
3(-2 + 12) = 8 + -2(n + -8)

Combine like terms: -2 + 12 = 10
3(10) = 8 + -2(n + -8)

Multiply 3 * 10
30 = 8 + -2(n + -8)

Reorder the terms:
30 = 8 + -2(-8 + n)
30 = 8 + (-8 * -2 + n * -2)
30 = 8 + (16 + -2n)

Combine like terms: 8 + 16 = 24
30 = 24 + -2n

Solving
30 = 24 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
30 + 2n = 24 + -2n + 2n

Combine like terms: -2n + 2n = 0
30 + 2n = 24 + 0
30 + 2n = 24

Add '-30' to each side of the equation.
30 + -30 + 2n = 24 + -30

Combine like terms: 30 + -30 = 0
0 + 2n = 24 + -30
2n = 24 + -30

Combine like terms: 24 + -30 = -6
2n = -6

Divide each side by '2'.
n = -3

Simplifying
n = -3

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