
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
Let's say there is a traveler named Marco who plans to make a trip from city $D$ to $E$, then from $E$ to $F$, and finally from $F$ to $D$. The cities are arranged in a right-angled triangle with $D$ and $F$ being 4000 km apart, and $D$ to $E$ being 5000 km apart. Marco has two options for each part of his journey:
- taking a bus, which costs him $0.20$ per kilometer, or
- taking an airplane, which includes a $150$ booking fee plus $0.12$ per kilometer traveled.
Determine the total kilometers Marco will travel for his entire trip.

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