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If the constant term in the binomial expansion of $$\left(\dfrac{x^{5/2}}{2} - \dfrac{4}{x^l}\right)^9$$ is -84 and the coefficient of $$x^{-3l}$$ is $$2^\alpha \beta$$ where $$\beta < 0$$ is an odd number, then $$|\alpha l - \beta|$$ is equal to ______.
Correct Answer: 4
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