Evaluate the product of $\sqrt[3]{2^2} + \sqrt[3]{2}$ with $2 - 2\sqrt[3]{2} - \sqrt[3]{2^2}$.
<|im_start|>system
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<|im_start|>user
Evaluate the product of $\sqrt[3]{2^2} + \sqrt[3]{2}$ with $2 - 2\sqrt[3]{2} - \sqrt[3]{2^2}$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-6
Evaluate the product of $\sqrt[3]{2^2} + \sqrt[3]{2}$ with $2 - 2\sqrt[3]{2} - \sqrt[3]{2^2}$.
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