
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
Given that the center of a hyperbola is at the origin of the coordinate system, the foci are on the coordinate axis, and the absolute difference of the distances between a point $M$ on the hyperbola and the two foci is equal to $6$. If the eccentricity $e= \frac {5}{3}$, then the length of the focal distance is \_\_\_\_\_\_.

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