Let's break down the expression step by step:
Start with the division: \( 10,425 \div 75 \): \[ 10,425 \div 75 = 139.0 \]
Next, calculate \( (5506 - 5415) \): \[ 5506 - 5415 = 91 \]
Now, replace the calculations back into the expression: \[ 2006 * (139 - 91) \]
Calculate \( (139 - 91) \): \[ 139 - 91 = 48 \]
Now, multiply by 2006: \[ 2006 * 48 = 96,288 \]
So, the final result is: \[ \boxed{96,288} \]