To evaluate the expression \( | -4 \cdot (-8) - 5 \cdot 13 | \), we will first simplify the terms inside the absolute value.
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Calculate \( -4 \cdot (-8) \): \[ -4 \cdot (-8) = 32 \]
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Calculate \( -5 \cdot 13 \): \[ -5 \cdot 13 = -65 \]
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Now substitute these values back into the expression: \[ | 32 - 65 | \]
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Simplify \( 32 - 65 \): \[ 32 - 65 = -33 \]
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Finally, take the absolute value: \[ | -33 | = 33 \]
Thus, the final result is: \[ \boxed{33} \]