take study = a
take fail = b
take no = c
study = no fail; [a = cb]
no study = fail; [ca = b]
add together
study + no study = no fail + fail; [a + ca] = [cb + b]
(no + 1)study = (no + 1)fail; [c + 1]a = [c + 1]b
cancel out (no + 1) and [c + 1] of both left side
study = fail; [a = b]
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