To evaluate the expression \(-16m^2 - n\) for \(m = -1.2\) and \(n = -8.4\), we follow these steps:
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Calculate \(m^2\): \[ m^2 = (-1.2)^2 = 1.44 \]
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Calculate \(-16m^2\): \[ -16m^2 = -16 \times 1.44 = -23.04 \]
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Substitute \(n\) into the expression: \[ -n = -(-8.4) = 8.4 \]
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Combine the results: \[ -16m^2 - n = -23.04 + 8.4 = -14.64 \]
Thus, the value of the expression \(-16m^2 - n\) for \(m = -1.2\) and \(n = -8.4\) is: \[ \boxed{-14.64} \]