3(3n+2)=9(9n+9)+5

Solution for 3(3n+2)=9(9n+9)+5 equation:

Simplifying
3(3n + 2) = 9(9n + 9) + 5

Reorder the terms:
3(2 + 3n) = 9(9n + 9) + 5
(2 * 3 + 3n * 3) = 9(9n + 9) + 5
(6 + 9n) = 9(9n + 9) + 5

Reorder the terms:
6 + 9n = 9(9 + 9n) + 5
6 + 9n = (9 * 9 + 9n * 9) + 5
6 + 9n = (81 + 81n) + 5

Reorder the terms:
6 + 9n = 81 + 5 + 81n

Combine like terms: 81 + 5 = 86
6 + 9n = 86 + 81n

Solving
6 + 9n = 86 + 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 + 9n + -81n = 86 + 81n + -81n

Combine like terms: 9n + -81n = -72n
6 + -72n = 86 + 81n + -81n

Combine like terms: 81n + -81n = 0
6 + -72n = 86 + 0
6 + -72n = 86

Add '-6' to each side of the equation.
6 + -6 + -72n = 86 + -6

Combine like terms: 6 + -6 = 0
0 + -72n = 86 + -6
-72n = 86 + -6

Combine like terms: 86 + -6 = 80
-72n = 80

Divide each side by '-72'.
n = -1.111111111

Simplifying
n = -1.111111111