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

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


Simplifying
8n + -8(-4 + -1n) = -8n + 4(4n + -4)
8n + (-4 * -8 + -1n * -8) = -8n + 4(4n + -4)
8n + (32 + 8n) = -8n + 4(4n + -4)

Reorder the terms:
32 + 8n + 8n = -8n + 4(4n + -4)

Combine like terms: 8n + 8n = 16n
32 + 16n = -8n + 4(4n + -4)

Reorder the terms:
32 + 16n = -8n + 4(-4 + 4n)
32 + 16n = -8n + (-4 * 4 + 4n * 4)
32 + 16n = -8n + (-16 + 16n)

Reorder the terms:
32 + 16n = -16 + -8n + 16n

Combine like terms: -8n + 16n = 8n
32 + 16n = -16 + 8n

Solving
32 + 16n = -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.
32 + 16n + -8n = -16 + 8n + -8n

Combine like terms: 16n + -8n = 8n
32 + 8n = -16 + 8n + -8n

Combine like terms: 8n + -8n = 0
32 + 8n = -16 + 0
32 + 8n = -16

Add '-32' to each side of the equation.
32 + -32 + 8n = -16 + -32

Combine like terms: 32 + -32 = 0
0 + 8n = -16 + -32
8n = -16 + -32

Combine like terms: -16 + -32 = -48
8n = -48

Divide each side by '8'.
n = -6

Simplifying
n = -6

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