To solve the equation \(-4(x - 8) = -32\), follow these steps:
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Distribute the \(-4\) on the left side: \[ -4x + 32 = -32 \]
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Subtract \(32\) from both sides to isolate the term with \(x\): \[ -4x = -32 - 32 \] \[ -4x = -64 \]
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Divide both sides by \(-4\) to solve for \(x\): \[ x = \frac{-64}{-4} \] \[ x = 16 \]
Thus, the solution to the equation is \(x = 16\).