To solve the equation \(-2 (4 - n) = 24\), we will first simplify the left-hand side.
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Distribute \(-2\) to both terms inside the parentheses: \[ -2 \cdot 4 + 2n = -8 + 2n \]
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Now the equation becomes: \[ -8 + 2n = 24 \]
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Next, add \(8\) to both sides to isolate the term with \(n\): \[ 2n = 24 + 8 \] \[ 2n = 32 \]
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Now, divide both sides by \(2\) to solve for \(n\): \[ n = \frac{32}{2} = 16 \]
Thus, the solution for \(n\) is \(16\). The answer is \(\boxed{16}\).