You go to a car dealer and pick out a new car that costs $55,000. The dealer is running a promotion where you can get $5,500 cash back and pay 3.2% interest on the loan monthly payments for 5 years, or get zero cash back and pay 0% APR on the same loan. Which loan will you pay less for total and by how much?

I figure that the no cash back deal with 0% APR is the basic loan amount for $55,000. However, the cash back deal would involve a loan total of $49,500 since you subtract the cash back from the original amount. Would I simply attribute the interest formula to this problem? The reason I'm confused is because this involves interest and a loan payment plan in one problem.