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Let a1,a2,…,ana_1, a_2, \ldots , a_na1,a2,…,an be the roots of the equation ∑k=1nkxk=0\displaystyle \sum_{k=1}^n kx^k = 0 k=1∑nkxk=0. If ∑k=1n11−ak=7 \displaystyle \sum_{k=1}^n \dfrac1{1-a_k} = 7 k=1∑n1−ak1=7, find nnn.
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