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

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

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

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

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

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

Combine like terms: -24n + 6n = -18n
-6 + 15n = -18n

Solving
-6 + 15n = -18n

Solving for variable 'n'.

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

Add '18n' to each side of the equation.
-6 + 15n + 18n = -18n + 18n

Combine like terms: 15n + 18n = 33n
-6 + 33n = -18n + 18n

Combine like terms: -18n + 18n = 0
-6 + 33n = 0

Add '6' to each side of the equation.
-6 + 6 + 33n = 0 + 6

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

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

Divide each side by '33'.
n = 0.1818181818

Simplifying
n = 0.1818181818