6-3n=3(n+8)

Solution for 6-3n=3(n+8) equation:

Simplifying
6 + -3n = 3(n + 8)

Reorder the terms:
6 + -3n = 3(8 + n)
6 + -3n = (8 * 3 + n * 3)
6 + -3n = (24 + 3n)

Solving
6 + -3n = 24 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + -3n + -3n = 24 + 3n + -3n

Combine like terms: -3n + -3n = -6n
6 + -6n = 24 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + -6n = 24 + 0
6 + -6n = 24

Add '-6' to each side of the equation.
6 + -6 + -6n = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -6n = 24 + -6
-6n = 24 + -6

Combine like terms: 24 + -6 = 18
-6n = 18

Divide each side by '-6'.
n = -3

Simplifying
n = -3