To evaluate the expression \( 3b - ac \) with the given values \( a = -2 \), \( b = 3 \), and \( c = 0.5 \), we will substitute these values into the expression.
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Substitute the values: \[ 3b - ac = 3(3) - (-2)(0.5) \]
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Calculate \( 3b \): \[ 3(3) = 9 \]
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Calculate \( -ac \): \[ -(-2)(0.5) = 2 \times 0.5 = 1 \]
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Combine these results: \[ 9 + 1 = 10 \]
Thus, the value of the expression \( 3b - ac \) is \( \boxed{10} \).