
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
Lucas starts to walk from his home toward his friend Hannah’s house at a distance of $3$ miles. Hannah begins to rollerblade toward Lucas's house at a speed $3$ times as fast as Lucas's walking speed. Lucas covers $3$ feet with each step and maintains a constant speed. Given this scenario, determine the number of steps that Lucas will take by the time they meet.

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