8(n-1)-2n=-2(-4n+2)

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Solution for 8(n-1)-2n=-2(-4n+2) equation: 


Simplifying
8(n + -1) + -2n = -2(-4n + 2)

Reorder the terms:
8(-1 + n) + -2n = -2(-4n + 2)
(-1 * 8 + n * 8) + -2n = -2(-4n + 2)
(-8 + 8n) + -2n = -2(-4n + 2)

Combine like terms: 8n + -2n = 6n
-8 + 6n = -2(-4n + 2)

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

Solving
-8 + 6n = -4 + 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.
-8 + 6n + -8n = -4 + 8n + -8n

Combine like terms: 6n + -8n = -2n
-8 + -2n = -4 + 8n + -8n

Combine like terms: 8n + -8n = 0
-8 + -2n = -4 + 0
-8 + -2n = -4

Add '8' to each side of the equation.
-8 + 8 + -2n = -4 + 8

Combine like terms: -8 + 8 = 0
0 + -2n = -4 + 8
-2n = -4 + 8

Combine like terms: -4 + 8 = 4
-2n = 4

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

Simplifying
n = -2

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