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Consider the following algorithm. What number should the algorithm return at step 9?

Step 1: Have the user input an integer -- call it $n$.

Step 2: Add 4 to n.

Step 3: Multiply the sum by 3.

Step 4: Add n to this product.

Step 5: Divide this sum by 2.

Step 6: Add 4 to this quotient.

Step 7: Divide this new sum by 2.

Step 8: Subtract n from this new quotient.

Step 9: Output this difference.