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If $$x = (\frac{a}{b}) + (\frac{b}{a}), y = (\frac{b}{c}) + (\frac{c}{b})$$ and $$z = (\frac{c}{a}) + (\frac{a}{c})$$, then what is the value of $$xyz - x^2 - y^2 - z^2$$?
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