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8r\sqrt{6} = \sqrt{2}(r-3)(r-4) + \sqrt{3}(r-2)(r-4) + 2(r-2)(r-3)
8r\sqrt{6} = \sqrt{2}(r-3)(r-4) + \sqrt{3}(r-2)(r-4) + 2(r-2)(r-3)
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