2(3n+3)=9(7n+2)+9

Solution for 2(3n+3)=9(7n+2)+9 equation:

Simplifying
2(3n + 3) = 9(7n + 2) + 9

Reorder the terms:
2(3 + 3n) = 9(7n + 2) + 9
(3 * 2 + 3n * 2) = 9(7n + 2) + 9
(6 + 6n) = 9(7n + 2) + 9

Reorder the terms:
6 + 6n = 9(2 + 7n) + 9
6 + 6n = (2 * 9 + 7n * 9) + 9
6 + 6n = (18 + 63n) + 9

Reorder the terms:
6 + 6n = 18 + 9 + 63n

Combine like terms: 18 + 9 = 27
6 + 6n = 27 + 63n

Solving
6 + 6n = 27 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
6 + 6n + -63n = 27 + 63n + -63n

Combine like terms: 6n + -63n = -57n
6 + -57n = 27 + 63n + -63n

Combine like terms: 63n + -63n = 0
6 + -57n = 27 + 0
6 + -57n = 27

Add '-6' to each side of the equation.
6 + -6 + -57n = 27 + -6

Combine like terms: 6 + -6 = 0
0 + -57n = 27 + -6
-57n = 27 + -6

Combine like terms: 27 + -6 = 21
-57n = 21

Divide each side by '-57'.
n = -0.3684210526

Simplifying
n = -0.3684210526