To evaluate the expression \( c - \frac{d}{-2} \) when \( c = -1 \) and \( d = 15 \), we first substitute the values of \( c \) and \( d \) into the expression.
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Substitute \( c \) and \( d \): \[ -1 - \frac{15}{-2} \]
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Calculate \( \frac{15}{-2} \): \[ \frac{15}{-2} = -\frac{15}{2} \]
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Substitute this value back into the expression: \[ -1 - (-\frac{15}{2}) = -1 + \frac{15}{2} \]
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To perform the addition, convert \(-1\) into a fraction with a common denominator of 2: \[ -1 = -\frac{2}{2} \]
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Now add the fractions: \[ -\frac{2}{2} + \frac{15}{2} = \frac{-2 + 15}{2} = \frac{13}{2} \]
The result is \(\frac{13}{2}\), which evaluates to 6.5.
Since this isn't among the response options provided, it suggests there might be confusion in the interpretation of the original expression or in the response options. Let's double-check the steps to ensure accuracy.
If we reconsider the expression as \( c - \left(-\frac{d}{2}\right) \) instead of \( c - \frac{d}{-2} \), we would still receive the same output.
Unfortunately, the correct evaluation does not match any given option, but based on the analysis, the process to evaluate was indeed accurately expressed. Therefore, further clarification on the problem statement may be necessary to align with offered choices.