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

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


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

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

Remove parenthesis around (-32 + 8n)
-32 + 8n = (4n + 8)

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

Remove parenthesis around (8 + 4n)
-32 + 8n = 8 + 4n

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

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

Combine like terms: 4n + -4n = 0
-32 + 4n = 8 + 0
-32 + 4n = 8

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

Combine like terms: -32 + 32 = 0
0 + 4n = 8 + 32
4n = 8 + 32

Combine like terms: 8 + 32 = 40
4n = 40

Divide each side by '4'.
n = 10

Simplifying
n = 10

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