2(2n+3)-3(n-3)=24

Solution for 2(2n+3)-3(n-3)=24 equation:

Simplifying
2(2n + 3) + -3(n + -3) = 24

Reorder the terms:
2(3 + 2n) + -3(n + -3) = 24
(3 * 2 + 2n * 2) + -3(n + -3) = 24
(6 + 4n) + -3(n + -3) = 24

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

Reorder the terms:
6 + 9 + 4n + -3n = 24

Combine like terms: 6 + 9 = 15
15 + 4n + -3n = 24

Combine like terms: 4n + -3n = 1n
15 + 1n = 24

Solving
15 + 1n = 24

Solving for variable 'n'.

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

Add '-15' to each side of the equation.
15 + -15 + 1n = 24 + -15

Combine like terms: 15 + -15 = 0
0 + 1n = 24 + -15
1n = 24 + -15

Combine like terms: 24 + -15 = 9
1n = 9

Divide each side by '1'.
n = 9

Simplifying
n = 9