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

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


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

Reorder the terms:
4(-4 + n) + 2n = 2(n + 4)
(-4 * 4 + n * 4) + 2n = 2(n + 4)
(-16 + 4n) + 2n = 2(n + 4)

Combine like terms: 4n + 2n = 6n
-16 + 6n = 2(n + 4)

Reorder the terms:
-16 + 6n = 2(4 + n)
-16 + 6n = (4 * 2 + n * 2)
-16 + 6n = (8 + 2n)

Solving
-16 + 6n = 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.
-16 + 6n + -2n = 8 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-16 + 4n = 8 + 2n + -2n

Combine like terms: 2n + -2n = 0
-16 + 4n = 8 + 0
-16 + 4n = 8

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

Combine like terms: -16 + 16 = 0
0 + 4n = 8 + 16
4n = 8 + 16

Combine like terms: 8 + 16 = 24
4n = 24

Divide each side by '4'.
n = 6

Simplifying
n = 6

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