
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 a frustum of a cone with upper and lower base radii of 2 and 6, respectively, and the lateral surface area equal to the sum of the areas of the two bases, determine the slant height of the frustum.

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