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

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

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

Reorder the terms:
36 + 18n = 2(-6 + n)
36 + 18n = (-6 * 2 + n * 2)
36 + 18n = (-12 + 2n)

Solving
36 + 18n = -12 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
36 + 18n + -2n = -12 + 2n + -2n

Combine like terms: 18n + -2n = 16n
36 + 16n = -12 + 2n + -2n

Combine like terms: 2n + -2n = 0
36 + 16n = -12 + 0
36 + 16n = -12

Add '-36' to each side of the equation.
36 + -36 + 16n = -12 + -36

Combine like terms: 36 + -36 = 0
0 + 16n = -12 + -36
16n = -12 + -36

Combine like terms: -12 + -36 = -48
16n = -48

Divide each side by '16'.
n = -3

Simplifying
n = -3