To evaluate the expression \(-4x + 7y\) when \(x = -2\) and \(y = -4\), substitute the values of \(x\) and \(y\) into the expression:
\[ -4(-2) + 7(-4) \]
Now calculate:
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Calculate \(-4(-2)\): \[ -4 \times -2 = 8 \]
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Calculate \(7(-4)\): \[ 7 \times -4 = -28 \]
Now combine these results: \[ 8 + (-28) = 8 - 28 = -20 \]
Therefore, the value of the expression \(-4x + 7y\) when \(x = -2\) and \(y = -4\) is \(-20\).
The correct answer is: −20.