First, we need to substitute the values of \(x\), \(y\), and \(z\) into the expression \(-12 + xz + y + z\).
Given:
- \(x = -4\)
- \(y = -3\)
- \(z = -5\)
Now, we can substitute these values into the expression:
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Calculate \(xz\): \[ xz = (-4)(-5) = 20 \]
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Now, substitute \(xz\), \(y\), and \(z\) into the expression: \[ -12 + xz + y + z = -12 + 20 - 3 - 5 \]
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Simplify the expression step-by-step:
- First, calculate \(-12 + 20\): \[ -12 + 20 = 8 \]
- Then, add \(-3\): \[ 8 - 3 = 5 \]
- Finally, add \(-5\): \[ 5 - 5 = 0 \]
Thus, the simplified answer is: \[ \boxed{0} \]