16-2n+8n=n+3(n+4)+20

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Solution for 16-2n+8n=n+3(n+4)+20 equation: 


Simplifying
16 + -2n + 8n = n + 3(n + 4) + 20

Combine like terms: -2n + 8n = 6n
16 + 6n = n + 3(n + 4) + 20

Reorder the terms:
16 + 6n = n + 3(4 + n) + 20
16 + 6n = n + (4 * 3 + n * 3) + 20
16 + 6n = n + (12 + 3n) + 20

Reorder the terms:
16 + 6n = 12 + 20 + n + 3n

Combine like terms: 12 + 20 = 32
16 + 6n = 32 + n + 3n

Combine like terms: n + 3n = 4n
16 + 6n = 32 + 4n

Solving
16 + 6n = 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 + 6n + -4n = 32 + 4n + -4n

Combine like terms: 6n + -4n = 2n
16 + 2n = 32 + 4n + -4n

Combine like terms: 4n + -4n = 0
16 + 2n = 32 + 0
16 + 2n = 32

Add '-16' to each side of the equation.
16 + -16 + 2n = 32 + -16

Combine like terms: 16 + -16 = 0
0 + 2n = 32 + -16
2n = 32 + -16

Combine like terms: 32 + -16 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8

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