6n-3(-3n+2)=-21+9

Solution for 6n-3(-3n+2)=-21+9 equation:

Simplifying
6n + -3(-3n + 2) = -21 + 9

Reorder the terms:
6n + -3(2 + -3n) = -21 + 9
6n + (2 * -3 + -3n * -3) = -21 + 9
6n + (-6 + 9n) = -21 + 9

Reorder the terms:
-6 + 6n + 9n = -21 + 9

Combine like terms: 6n + 9n = 15n
-6 + 15n = -21 + 9

Combine like terms: -21 + 9 = -12
-6 + 15n = -12

Solving
-6 + 15n = -12

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 15n = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 15n = -12 + 6
15n = -12 + 6

Combine like terms: -12 + 6 = -6
15n = -6

Divide each side by '15'.
n = -0.4

Simplifying
n = -0.4