Modern Algebra-Proving Elements Conjugate

1. If a1,...,an is a list of (not necessarily distinct) elements of a group G, then, for all i, ai...ana1...ai-1 is conjugate to a1,...,an.



2. Relevant equations



3. The attempt at a solution
I know that you have to prove the existence of an element g of the group G such that ga1,...,ang-1 = ai...ana1...ai-1, but I don't know how to find this element g, or how to define it or it's inverse. Very confused.
 

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