3(3n+2)=8(4n+3)+9

Solution for 3(3n+2)=8(4n+3)+9 equation:

Simplifying
3(3n + 2) = 8(4n + 3) + 9

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

Reorder the terms:
6 + 9n = 8(3 + 4n) + 9
6 + 9n = (3 * 8 + 4n * 8) + 9
6 + 9n = (24 + 32n) + 9

Reorder the terms:
6 + 9n = 24 + 9 + 32n

Combine like terms: 24 + 9 = 33
6 + 9n = 33 + 32n

Solving
6 + 9n = 33 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
6 + 9n + -32n = 33 + 32n + -32n

Combine like terms: 9n + -32n = -23n
6 + -23n = 33 + 32n + -32n

Combine like terms: 32n + -32n = 0
6 + -23n = 33 + 0
6 + -23n = 33

Add '-6' to each side of the equation.
6 + -6 + -23n = 33 + -6

Combine like terms: 6 + -6 = 0
0 + -23n = 33 + -6
-23n = 33 + -6

Combine like terms: 33 + -6 = 27
-23n = 27

Divide each side by '-23'.
n = -1.173913043

Simplifying
n = -1.173913043