3(2n+2)-(n-8)=32

Solution for 3(2n+2)-(n-8)=32 equation:

Simplifying
3(2n + 2) + -1(n + -8) = 32

Reorder the terms:
3(2 + 2n) + -1(n + -8) = 32
(2 * 3 + 2n * 3) + -1(n + -8) = 32
(6 + 6n) + -1(n + -8) = 32

Reorder the terms:
6 + 6n + -1(-8 + n) = 32
6 + 6n + (-8 * -1 + n * -1) = 32
6 + 6n + (8 + -1n) = 32

Reorder the terms:
6 + 8 + 6n + -1n = 32

Combine like terms: 6 + 8 = 14
14 + 6n + -1n = 32

Combine like terms: 6n + -1n = 5n
14 + 5n = 32

Solving
14 + 5n = 32

Solving for variable 'n'.

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

Add '-14' to each side of the equation.
14 + -14 + 5n = 32 + -14

Combine like terms: 14 + -14 = 0
0 + 5n = 32 + -14
5n = 32 + -14

Combine like terms: 32 + -14 = 18
5n = 18

Divide each side by '5'.
n = 3.6

Simplifying
n = 3.6