The Code should be on the back of the game manual at the very top.
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The only code I can think of is the serial code for the sims 3. To be able to find it, it should be on the back of the booklet in the sims 3 game case.
The activation code should be included at the back of the instruction manual. In your case, you won't be able to play your game since you don't have the code. Unless you know some illegal method to get it to work.
what is the Sims 3 product code
A serial code in The Sims 3 is what you require to install the game which means no serial code is equal to no Sims 3 on your computer.
No, there is no cheat code for skills on The Sims 3.