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If for n in N, sum(k=0)^(2n)(-1)^k(2nCk)...

If for `n in N, sum_(k=0)^(2n)(-1)^k(2nC_k)^2=A,` then find the value of `sum_(k=0)^(2n)(-1)^k (k-2n)(2nC_k)^2.`

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