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

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


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

Reorder the terms:
8(-2 + n) + 8(1 + -1n) = n + -8 + n + 8
(-2 * 8 + n * 8) + 8(1 + -1n) = n + -8 + n + 8
(-16 + 8n) + 8(1 + -1n) = n + -8 + n + 8
-16 + 8n + (1 * 8 + -1n * 8) = n + -8 + n + 8
-16 + 8n + (8 + -8n) = n + -8 + n + 8

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

Combine like terms: -16 + 8 = -8
-8 + 8n + -8n = n + -8 + n + 8

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

Reorder the terms:
-8 = -8 + 8 + n + n

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

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

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

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

Add '8' to each side of the equation.
-8 + 8 + -2n = 0 + 8

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

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

Divide each side by '-2'.
n = -4

Simplifying
n = -4

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