Number trick.

Here are directions for a number trick.
Step 1. Think of a number.
Step 2. Multiply by five.
Step 3. Add eight.
Step 4. Subtract three.
Step 5. Divide by five.
Step 6. Subtract the number that you first thought of.
(a) Show how the trick works.
(b) What is the result at the end of trick?
(c) Two steps in the trick could be combined into one without changing the end result. Which they are?
(d) What would the step replacing them be?
Give examples of applications of integers and fractions in everyday life.