8n-16=-4(n-8)

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Solution for 8n-16=-4(n-8) equation:


Simplifying
8n + -16 = -4(n + -8)

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

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

Solving
-16 + 8n = 32 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-16 + 8n + 4n = 32 + -4n + 4n

Combine like terms: 8n + 4n = 12n
-16 + 12n = 32 + -4n + 4n

Combine like terms: -4n + 4n = 0
-16 + 12n = 32 + 0
-16 + 12n = 32

Add '16' to each side of the equation.
-16 + 16 + 12n = 32 + 16

Combine like terms: -16 + 16 = 0
0 + 12n = 32 + 16
12n = 32 + 16

Combine like terms: 32 + 16 = 48
12n = 48

Divide each side by '12'.
n = 4

Simplifying
n = 4

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