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

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

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

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

Reorder the terms:
6 + 6n = 9(3 + 3n) + 2
6 + 6n = (3 * 9 + 3n * 9) + 2
6 + 6n = (27 + 27n) + 2

Reorder the terms:
6 + 6n = 27 + 2 + 27n

Combine like terms: 27 + 2 = 29
6 + 6n = 29 + 27n

Solving
6 + 6n = 29 + 27n

Solving for variable 'n'.

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

Add '-27n' to each side of the equation.
6 + 6n + -27n = 29 + 27n + -27n

Combine like terms: 6n + -27n = -21n
6 + -21n = 29 + 27n + -27n

Combine like terms: 27n + -27n = 0
6 + -21n = 29 + 0
6 + -21n = 29

Add '-6' to each side of the equation.
6 + -6 + -21n = 29 + -6

Combine like terms: 6 + -6 = 0
0 + -21n = 29 + -6
-21n = 29 + -6

Combine like terms: 29 + -6 = 23
-21n = 23

Divide each side by '-21'.
n = -1.095238095

Simplifying
n = -1.095238095