Give the step-by-step reasoning process and then the final answer. Marge had a winning lottery ticket for $12006 and wanted to spend some of it wisely before using on any fun things. She paid half of the lottery amount for the taxes on her winnings, then put a third of the leftover money towards her student loans. She put $1000 in savings and invested a fifth of that amount in the stock market. How many dollars does she have left for fun?

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Marge used half the $12006 for taxes, so she had 12006 / 2 = $6003 left. She used 1 / 3 of the leftover money on student loans, so she paid 6003 / 3 = $2001. After paying the student loans, she had 6003 - 2001 = $4002 left. She put $1000 in savings, so she had 4002 - 1000 = $3002 left. She invested 1000 / 5 = $200 in the stock market. After investing, she had 3002 - 200 = $2802 left for fun.
The final answer: 2802.