33=3v+2(3v+3)

Solution for 33=3v+2(3v+3) equation:

Simplifying
33 = 3v + 2(3v + 3)

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

Reorder the terms:
33 = 6 + 3v + 6v

Combine like terms: 3v + 6v = 9v
33 = 6 + 9v

Solving
33 = 6 + 9v

Solving for variable 'v'.

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

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

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

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

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

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

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

Simplifying
v = 3