16-2n-5+8n=n+3(n+4)+20

Solution for 16-2n-5+8n=n+3(n+4)+20 equation:

Simplifying
16 + -2n + -5 + 8n = n + 3(n + 4) + 20

Reorder the terms:
16 + -5 + -2n + 8n = n + 3(n + 4) + 20

Combine like terms: 16 + -5 = 11
11 + -2n + 8n = n + 3(n + 4) + 20

Combine like terms: -2n + 8n = 6n
11 + 6n = n + 3(n + 4) + 20

Reorder the terms:
11 + 6n = n + 3(4 + n) + 20
11 + 6n = n + (4 * 3 + n * 3) + 20
11 + 6n = n + (12 + 3n) + 20

Reorder the terms:
11 + 6n = 12 + 20 + n + 3n

Combine like terms: 12 + 20 = 32
11 + 6n = 32 + n + 3n

Combine like terms: n + 3n = 4n
11 + 6n = 32 + 4n

Solving
11 + 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.
11 + 6n + -4n = 32 + 4n + -4n

Combine like terms: 6n + -4n = 2n
11 + 2n = 32 + 4n + -4n

Combine like terms: 4n + -4n = 0
11 + 2n = 32 + 0
11 + 2n = 32

Add '-11' to each side of the equation.
11 + -11 + 2n = 32 + -11

Combine like terms: 11 + -11 = 0
0 + 2n = 32 + -11
2n = 32 + -11

Combine like terms: 32 + -11 = 21
2n = 21

Divide each side by '2'.
n = 10.5

Simplifying
n = 10.5