To solve the expression \( | -12 | - | -3 | \):
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Calculate \( | -12 | \): \[ | -12 | = 12 \]
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Calculate \( | -3 | \): \[ | -3 | = 3 \]
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Now substitute these values back into the expression: \[ 12 - 3 = 9 \]
Thus, the result is \( 9 \).
The correct answer is 9.