
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
Two ropes of the same length are cut. The first rope is cut into 4 equal parts, and the second rope is cut into 6 equal parts. If the length of each part from the first rope differs from the length of each part from the second rope by 2 meters, calculate the total original length of the two ropes.

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