Follow the instructions for this “trick” starting with several different numbers of your choice. Make a conjecture as to what result you get in each case. Use algebra and deductive reasoning to explain why your conjecture is correct.
a. Choose any natural number.
b. Multiply the number by 8.
c. Add 12 to the product you just found.
d. Divide the results of part (c) by 4.
e. Subtract 3.
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