4(3n+2)=3(2n-8)

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Solution for 4(3n+2)=3(2n-8) equation: 


Simplifying
4(3n + 2) = 3(2n + -8)

Reorder the terms:
4(2 + 3n) = 3(2n + -8)
(2 * 4 + 3n * 4) = 3(2n + -8)
(8 + 12n) = 3(2n + -8)

Reorder the terms:
8 + 12n = 3(-8 + 2n)
8 + 12n = (-8 * 3 + 2n * 3)
8 + 12n = (-24 + 6n)

Solving
8 + 12n = -24 + 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.
8 + 12n + -6n = -24 + 6n + -6n

Combine like terms: 12n + -6n = 6n
8 + 6n = -24 + 6n + -6n

Combine like terms: 6n + -6n = 0
8 + 6n = -24 + 0
8 + 6n = -24

Add '-8' to each side of the equation.
8 + -8 + 6n = -24 + -8

Combine like terms: 8 + -8 = 0
0 + 6n = -24 + -8
6n = -24 + -8

Combine like terms: -24 + -8 = -32
6n = -32

Divide each side by '6'.
n = -5.333333333

Simplifying
n = -5.333333333

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