2(2n+3)=8(3n+3)+9

Solution for 2(2n+3)=8(3n+3)+9 equation:

Simplifying
2(2n + 3) = 8(3n + 3) + 9

Reorder the terms:
2(3 + 2n) = 8(3n + 3) + 9
(3 * 2 + 2n * 2) = 8(3n + 3) + 9
(6 + 4n) = 8(3n + 3) + 9

Reorder the terms:
6 + 4n = 8(3 + 3n) + 9
6 + 4n = (3 * 8 + 3n * 8) + 9
6 + 4n = (24 + 24n) + 9

Reorder the terms:
6 + 4n = 24 + 9 + 24n

Combine like terms: 24 + 9 = 33
6 + 4n = 33 + 24n

Solving
6 + 4n = 33 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
6 + 4n + -24n = 33 + 24n + -24n

Combine like terms: 4n + -24n = -20n
6 + -20n = 33 + 24n + -24n

Combine like terms: 24n + -24n = 0
6 + -20n = 33 + 0
6 + -20n = 33

Add '-6' to each side of the equation.
6 + -6 + -20n = 33 + -6

Combine like terms: 6 + -6 = 0
0 + -20n = 33 + -6
-20n = 33 + -6

Combine like terms: 33 + -6 = 27
-20n = 27

Divide each side by '-20'.
n = -1.35

Simplifying
n = -1.35