3(2n+2)=9(3n+4)+6

Solution for 3(2n+2)=9(3n+4)+6 equation:

Simplifying
3(2n + 2) = 9(3n + 4) + 6

Reorder the terms:
3(2 + 2n) = 9(3n + 4) + 6
(2 * 3 + 2n * 3) = 9(3n + 4) + 6
(6 + 6n) = 9(3n + 4) + 6

Reorder the terms:
6 + 6n = 9(4 + 3n) + 6
6 + 6n = (4 * 9 + 3n * 9) + 6
6 + 6n = (36 + 27n) + 6

Reorder the terms:
6 + 6n = 36 + 6 + 27n

Combine like terms: 36 + 6 = 42
6 + 6n = 42 + 27n

Solving
6 + 6n = 42 + 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 = 42 + 27n + -27n

Combine like terms: 6n + -27n = -21n
6 + -21n = 42 + 27n + -27n

Combine like terms: 27n + -27n = 0
6 + -21n = 42 + 0
6 + -21n = 42

Add '-6' to each side of the equation.
6 + -6 + -21n = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -21n = 42 + -6
-21n = 42 + -6

Combine like terms: 42 + -6 = 36
-21n = 36

Divide each side by '-21'.
n = -1.714285714

Simplifying
n = -1.714285714