
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
Amanda divided her hiking trip into four segments. She hiked the first one-fourth of the total distance to a stream and then went another $25$ kilometers through a forest. The next segment involved crossing a mountain range, which took up another one-sixth of the total trip, before finishing the last portion on a plain. If the plain's segment was twice the length of the forest path, derive the length of Amanda's entire hiking trip.

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