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

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

Simplifying
6(6 + -3n) + 6n = 3(2 + -2n)
(6 * 6 + -3n * 6) + 6n = 3(2 + -2n)
(36 + -18n) + 6n = 3(2 + -2n)

Combine like terms: -18n + 6n = -12n
36 + -12n = 3(2 + -2n)
36 + -12n = (2 * 3 + -2n * 3)
36 + -12n = (6 + -6n)

Solving
36 + -12n = 6 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
36 + -12n + 6n = 6 + -6n + 6n

Combine like terms: -12n + 6n = -6n
36 + -6n = 6 + -6n + 6n

Combine like terms: -6n + 6n = 0
36 + -6n = 6 + 0
36 + -6n = 6

Add '-36' to each side of the equation.
36 + -36 + -6n = 6 + -36

Combine like terms: 36 + -36 = 0
0 + -6n = 6 + -36
-6n = 6 + -36

Combine like terms: 6 + -36 = -30
-6n = -30

Divide each side by '-6'.
n = 5

Simplifying
n = 5