Question

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Explanation:

Step1: Recall Distributive Property

The Distributive Property states that \(a(b + c)=ab+ac\). Here, \(a = - 8\), \(b=x\) and \(c = 4\). So we multiply \(-8\) with \(x\) and \(-8\) with \(4\).

Step2: Calculate \(-8\times4\)

\(-8\times4=-32\). So when we apply the distributive property to \(-8(x + 4)\), we get \(-8x+(-8\times4)=-8x-32\). So the blank should be \(-32\).

Answer:

\(-32\)