What is the remainder when \(7^{2002} + 3^{2002} + 2002\) is divided by 29?

**Note**: I am looking for a method with least simplification.

What is the remainder when \(7^{2002} + 3^{2002} + 2002\) is divided by 29?

**Note**: I am looking for a method with least simplification.

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