To simplify the expression \( 8(-4j + 3) \) using the distributive property, we multiply 8 by each term inside the parentheses.
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Distribute 8 to \(-4j\): \[ 8 \times -4j = -32j \]
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Distribute 8 to \(3\): \[ 8 \times 3 = 24 \]
Now, combine the results: \[ 8(-4j + 3) = -32j + 24 \]
So, the simplified expression is: \[ \boxed{-32j + 24} \]