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Algebra Level 5

If the roots of the equation \(x^2-10ax-11b=0\) are \(c\) and \(d\) and those of \(x^2-10cx-11d=0\) are \(a\) and \(b\), then find the value of \(a+b+c+d\) where \(a,b,c,d\) are all distinct numbers.

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