Sims 3 help?

I bought The Sims 3 cd awhile back but I lost it and I dont know my code, I still have the game downloaded on my other computer but I want to add it to my new one. If this helps, I have a account on the sims 3 website and I think it requires the code to have one ( I dont remember) can I use that? and how would I get to it?

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