To evaluate the expression \( \frac{v + w}{w} \) for \( v = -9 \) and \( w = 3 \), we can follow these steps:
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Substitute the values of \( v \) and \( w \) into the expression: \[ \frac{-9 + 3}{3} \]
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Simplify the numerator: \(-9 + 3 = -6\), so the expression becomes: \[ \frac{-6}{3} \]
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Now, divide: \[ -6 \div 3 = -2 \]
Thus, the simplified answer is: \[ \boxed{-2} \]