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

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

Simplifying
-6 = 3(3 + 3n) + -3(n + 3)
-6 = (3 * 3 + 3n * 3) + -3(n + 3)
-6 = (9 + 9n) + -3(n + 3)

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

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

Combine like terms: 9 + -9 = 0
-6 = 0 + 9n + -3n
-6 = 9n + -3n

Combine like terms: 9n + -3n = 6n
-6 = 6n

Solving
-6 = 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 + -6n = 6n + -6n

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

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

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

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

Divide each side by '-6'.
n = -1

Simplifying
n = -1