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

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Solution for (2(n-4))=(n+4(8)) equation:


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

Reorder the terms:
(2(-4 + n)) = (n + 4(8))
((-4 * 2 + n * 2)) = (n + 4(8))
((-8 + 2n)) = (n + 4(8))
(-8 + 2n) = (n + 4(8))

Remove parenthesis around (-8 + 2n)
-8 + 2n = (n + 4(8))

Multiply 4 * 8
-8 + 2n = (n + 32)

Reorder the terms:
-8 + 2n = (32 + n)

Remove parenthesis around (32 + n)
-8 + 2n = 32 + n

Solving
-8 + 2n = 32 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-8 + 2n + -1n = 32 + n + -1n

Combine like terms: 2n + -1n = 1n
-8 + 1n = 32 + n + -1n

Combine like terms: n + -1n = 0
-8 + 1n = 32 + 0
-8 + 1n = 32

Add '8' to each side of the equation.
-8 + 8 + 1n = 32 + 8

Combine like terms: -8 + 8 = 0
0 + 1n = 32 + 8
1n = 32 + 8

Combine like terms: 32 + 8 = 40
1n = 40

Divide each side by '1'.
n = 40

Simplifying
n = 40

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