Cure for Aids/Cancer is the solution mathematical?

This might really stupid and wierd but I have never heard of someone who has had Aids and Cancer. First of all the level of unlucky would be really high. Secondly a thought came to my mind what if aids was the cure for cancer and vice versa ? I mean if we follow a logical and mathetical based theory it could be completly and indisputably correct. In math "-" + "-"= +. Therefore, Aids (-) + Cancer (-) should equal to something positive.

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