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

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


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

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

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

Reorder the terms:
16 + -8n = 16 + 6 + -2n

Combine like terms: 16 + 6 = 22
16 + -8n = 22 + -2n

Solving
16 + -8n = 22 + -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.
16 + -8n + 2n = 22 + -2n + 2n

Combine like terms: -8n + 2n = -6n
16 + -6n = 22 + -2n + 2n

Combine like terms: -2n + 2n = 0
16 + -6n = 22 + 0
16 + -6n = 22

Add '-16' to each side of the equation.
16 + -16 + -6n = 22 + -16

Combine like terms: 16 + -16 = 0
0 + -6n = 22 + -16
-6n = 22 + -16

Combine like terms: 22 + -16 = 6
-6n = 6

Divide each side by '-6'.
n = -1

Simplifying
n = -1

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