6(3n+1)=0(9n+9)+2

Solution for 6(3n+1)=0(9n+9)+2 equation:

Simplifying
6(3n + 1) = 0(9n + 9) + 2

Reorder the terms:
6(1 + 3n) = 0(9n + 9) + 2
(1 * 6 + 3n * 6) = 0(9n + 9) + 2
(6 + 18n) = 0(9n + 9) + 2

Reorder the terms:
6 + 18n = 0(9 + 9n) + 2

Anything times zero is zero.
6 + 18n = 0(9 + 9n) + 2

Combine like terms: 0 + 2 = 2
6 + 18n = 2

Solving
6 + 18n = 2

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 18n = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 18n = 2 + -6
18n = 2 + -6

Combine like terms: 2 + -6 = -4
18n = -4

Divide each side by '18'.
n = -0.2222222222

Simplifying
n = -0.2222222222