let Dk be the determinant of the three by three matrix give as the first row being 1, 2k, 2k-1, the second row is n, $n^{2}$+n+2, $n^{2}$, the third row is n, $n^{2}$+n, $n^{2}$+n+2
if the sum of Dk from k=1 to n is 96 find n
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