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Algebra Level 5

If \(w_1=e^{3\pi{i}/2015}\) and \(w_2=e^{2\pi{i}/2015}\), find \[\mathbb {Re}\left(\sum_{k=1}^{2014}\frac{1}{1+{w_1}^k+{w_2}^{2k}}\right)\]

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