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

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


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

Reorder the terms:
2(8 + 6n) + 4 = -2(-8 + -4n)
(8 * 2 + 6n * 2) + 4 = -2(-8 + -4n)
(16 + 12n) + 4 = -2(-8 + -4n)

Reorder the terms:
16 + 4 + 12n = -2(-8 + -4n)

Combine like terms: 16 + 4 = 20
20 + 12n = -2(-8 + -4n)
20 + 12n = (-8 * -2 + -4n * -2)
20 + 12n = (16 + 8n)

Solving
20 + 12n = 16 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
20 + 12n + -8n = 16 + 8n + -8n

Combine like terms: 12n + -8n = 4n
20 + 4n = 16 + 8n + -8n

Combine like terms: 8n + -8n = 0
20 + 4n = 16 + 0
20 + 4n = 16

Add '-20' to each side of the equation.
20 + -20 + 4n = 16 + -20

Combine like terms: 20 + -20 = 0
0 + 4n = 16 + -20
4n = 16 + -20

Combine like terms: 16 + -20 = -4
4n = -4

Divide each side by '4'.
n = -1

Simplifying
n = -1

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