Simplify the expression

(3v^3-3v^2+3v+3) + (3v^3-2v+v^2+3)

Combine like terms:

(3v^3 - 3v^2 + 3v + 3) + (3v^3 - 2v + v^2 + 3)

= 3v^3 + 3v^3 - 3v^2 + v^2 + 3v - 2v + 3 + 3

= 6v^3 - 2v^2 + v + 6