Let n in N, S(n)=sum(r=0)^(3n)(""^(3n)C(...

Let `n in N, S_(n)=sum_(r=0)^(3n)(""^(3n)C_(r )) and T_(n)=sum_(r=0)^(n)(""^(3n)C_(3r))`. Find `|S_(n)-3T_(n)|`.

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