33-6n=3(n+2)

Solution for 33-6n=3(n+2) equation:

Simplifying
33 + -6n = 3(n + 2)

Reorder the terms:
33 + -6n = 3(2 + n)
33 + -6n = (2 * 3 + n * 3)
33 + -6n = (6 + 3n)

Solving
33 + -6n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
33 + -6n + -3n = 6 + 3n + -3n

Combine like terms: -6n + -3n = -9n
33 + -9n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
33 + -9n = 6 + 0
33 + -9n = 6

Add '-33' to each side of the equation.
33 + -33 + -9n = 6 + -33

Combine like terms: 33 + -33 = 0
0 + -9n = 6 + -33
-9n = 6 + -33

Combine like terms: 6 + -33 = -27
-9n = -27

Divide each side by '-9'.
n = 3

Simplifying
n = 3