Consider the following procedure:
Select a number. Multiply the number by 4. Add 6 to the product. Divide this sum by 2. Subtract 3 from the quotient.
a. Repeat this procedure for at least four different numbers. Write a conjecture that relates the result of this process to the original number selected.
b. Use the variable n to represent the original number and use deductive reasoning to prove the conjecture in part (a).
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