12 Deductive Reasoning

Use deductive reasoning to show that the following procedure always produces the number 6. Procedure: Pick a number. Add 5 to the number and multiply the sum by 3. Subtract 9 and then decrease this difference by the triple of the original number Pick a number. C Add 5 to the number. n+ Multiply the sum by 3. 3 1 + = Bn + Subtract 9. 3n + 9 = 3n + Subtract the triple of the original number. 3n + 6 - n = 6