
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
A rubber ball is dropped from a height of $10$ meters. After hitting the ground, it bounces back up to $\frac{4}{5}$ of its original height, then falls freely again, and bounces back to $\frac{4}{5}$ of the previous height. Assuming that the ball can bounce infinitely, calculate the total distance the ball travels in this motion.

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