To expand \( \frac{1}{3} (q - 6) \) using the Distributive Property, you multiply \( \frac{1}{3} \) by each term inside the parentheses:
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Multiply \( \frac{1}{3} \) by \( q \): \[ \frac{1}{3} \cdot q = \frac{1}{3}q \]
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Multiply \( \frac{1}{3} \) by \(-6\): \[ \frac{1}{3} \cdot (-6) = -\frac{6}{3} = -2 \]
Now, combine the two results: \[ \frac{1}{3} (q - 6) = \frac{1}{3}q - 2 \]
So the correct expression after using the Distributive Property is: \[ \frac{1}{3}q - 2 \]
The correct answer from your options is:
- \( \frac{1}{3}q - 2 \)