To solve the equation \(-8(-h-3) = -16h\), we can start by simplifying the left-hand side.
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Distribute \(-8\) on the left side: \[ -8 \cdot -h - 8 \cdot -3 = 8h + 24 \]
So the equation now looks like: \[ 8h + 24 = -16h \]
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Next, we will add \(16h\) to both sides to get all terms involving \(h\) on one side: \[ 8h + 16h + 24 = -16h + 16h \] \[ 24h + 24 = 0 \]
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Now, subtract \(24\) from both sides: \[ 24h = -24 \]
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Finally, divide by \(24\): \[ h = -1 \]
Thus, the solution is: \[ h = -1 \]