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

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

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

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

Reorder the terms:
6 + 6n = 9(9 + 4n) + 9
6 + 6n = (9 * 9 + 4n * 9) + 9
6 + 6n = (81 + 36n) + 9

Reorder the terms:
6 + 6n = 81 + 9 + 36n

Combine like terms: 81 + 9 = 90
6 + 6n = 90 + 36n

Solving
6 + 6n = 90 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
6 + 6n + -36n = 90 + 36n + -36n

Combine like terms: 6n + -36n = -30n
6 + -30n = 90 + 36n + -36n

Combine like terms: 36n + -36n = 0
6 + -30n = 90 + 0
6 + -30n = 90

Add '-6' to each side of the equation.
6 + -6 + -30n = 90 + -6

Combine like terms: 6 + -6 = 0
0 + -30n = 90 + -6
-30n = 90 + -6

Combine like terms: 90 + -6 = 84
-30n = 84

Divide each side by '-30'.
n = -2.8

Simplifying
n = -2.8