To evaluate the expression \(-5.6h - 6g\) for \(g = 0.1\) and \(h = -5\), we can substitute the values of \(g\) and \(h\) into the expression:
\[ -5.6(-5) - 6(0.1) \]
Now calculate each part:
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Calculate \(-5.6(-5)\): \[ -5.6 \times -5 = 28 \]
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Calculate \(-6(0.1)\): \[ -6 \times 0.1 = -0.6 \]
Now combine the results: \[ 28 - 0.6 = 27.4 \]
Thus, the value of the expression is: \[ \boxed{27.4} \]