To simplify the expression \(-15 + \frac{4}{5}(15e^{-10}) - 10e\), let's break it down step-by-step:
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Calculate \(\frac{4}{5}(15e^{-10})\): \[ \frac{4}{5} \cdot 15e^{-10} = 12e^{-10} \]
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Now substitute back into the expression: \[ -15 + 12e^{-10} - 10e \]
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Combine like terms (if possible): There are no like terms to combine here, so we keep the expression as is.
Thus, the simplified expression is: \[ -15 + 12e^{-10} - 10e \]
If you are looking for a numerical evaluation or further simplification which would lead to one of the response options, we would need more context, but from strictly simplifying it directly from what is presented, the final updated expression remains as written above.
None of the options you provided directly matches this simplified expression. Please double-check if the expression or options were presented correctly.