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

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Solution for 2(n+8)=6(n-4) equation: 


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

Reorder the terms:
2(8 + n) = 6(n + -4)
(8 * 2 + n * 2) = 6(n + -4)
(16 + 2n) = 6(n + -4)

Reorder the terms:
16 + 2n = 6(-4 + n)
16 + 2n = (-4 * 6 + n * 6)
16 + 2n = (-24 + 6n)

Solving
16 + 2n = -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.
16 + 2n + -6n = -24 + 6n + -6n

Combine like terms: 2n + -6n = -4n
16 + -4n = -24 + 6n + -6n

Combine like terms: 6n + -6n = 0
16 + -4n = -24 + 0
16 + -4n = -24

Add '-16' to each side of the equation.
16 + -16 + -4n = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -4n = -24 + -16
-4n = -24 + -16

Combine like terms: -24 + -16 = -40
-4n = -40

Divide each side by '-4'.
n = 10

Simplifying
n = 10

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