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

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

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

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

Reorder the terms:
6 + 18n = 9(9 + 9n) + 2
6 + 18n = (9 * 9 + 9n * 9) + 2
6 + 18n = (81 + 81n) + 2

Reorder the terms:
6 + 18n = 81 + 2 + 81n

Combine like terms: 81 + 2 = 83
6 + 18n = 83 + 81n

Solving
6 + 18n = 83 + 81n

Solving for variable 'n'.

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

Add '-81n' to each side of the equation.
6 + 18n + -81n = 83 + 81n + -81n

Combine like terms: 18n + -81n = -63n
6 + -63n = 83 + 81n + -81n

Combine like terms: 81n + -81n = 0
6 + -63n = 83 + 0
6 + -63n = 83

Add '-6' to each side of the equation.
6 + -6 + -63n = 83 + -6

Combine like terms: 6 + -6 = 0
0 + -63n = 83 + -6
-63n = 83 + -6

Combine like terms: 83 + -6 = 77
-63n = 77

Divide each side by '-63'.
n = -1.222222222

Simplifying
n = -1.222222222