LON-CAPA order of operations with fractions

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$2 \left[1 + \frac{1}{3} \cdot \left( -\frac{7}{2} \right) - 2 \cdot \left( \frac{1}{24} - \frac{1}{12} \right) \right] - \frac{1}{3} \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad$

Answer as a fraction in lowest terms.

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