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Algebra Level 4

If \[\frac{1}{x+1}+\frac{2}{y+2}+\frac{2006}{z+2006}=1\] Find the value of \[\frac{x^{2}}{x^{2}+x}+\frac{y^{2}}{y^{2}+2y}+\frac{z^{2}}{z^{2}+2006z}\]

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