
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Mr. $A$ owns a home worth $120,000$. He decides to sell his house to Mr. $B$ at a $20\%$ profit, then Mr. $B$ sells the house back to Mr. $A$ at a $15\%$ loss, and finally Mr. $A$ sells the house again to Mr. $B$ at a $5\%$ profit. Calculate the final profit or loss for Mr. $A$.

Present the answer in LaTex format: \boxed{Your answer}
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