
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 uniform spherical shell is wrapped around the outside of a sphere with radius R. If the volume of the "outer shell" is equal to the volume of the sphere, determine the thickness of the spherical shell.

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