3(2-8n)=3n+6

Solution for 3(2-8n)=3n+6 equation:

Simplifying
3(2 + -8n) = 3n + 6
(2 * 3 + -8n * 3) = 3n + 6
(6 + -24n) = 3n + 6

Reorder the terms:
6 + -24n = 6 + 3n

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

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

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

Solving
-24n = 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.
-24n + -3n = 3n + -3n

Combine like terms: -24n + -3n = -27n
-27n = 3n + -3n

Combine like terms: 3n + -3n = 0
-27n = 0

Divide each side by '-27'.
n = 0

Simplifying
n = 0