6n-3(-3n+2)=24+6n

Solution for 6n-3(-3n+2)=24+6n equation:

Simplifying
6n + -3(-3n + 2) = 24 + 6n

Reorder the terms:
6n + -3(2 + -3n) = 24 + 6n
6n + (2 * -3 + -3n * -3) = 24 + 6n
6n + (-6 + 9n) = 24 + 6n

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

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

Solving
-6 + 15n = 24 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-6 + 15n + -6n = 24 + 6n + -6n

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

Combine like terms: 6n + -6n = 0
-6 + 9n = 24 + 0
-6 + 9n = 24

Add '6' to each side of the equation.
-6 + 6 + 9n = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 9n = 24 + 6
9n = 24 + 6

Combine like terms: 24 + 6 = 30
9n = 30

Divide each side by '9'.
n = 3.333333333

Simplifying
n = 3.333333333