
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 circles, each with a diameter of 8 inches, are placed inside a 20-inch by 16-inch rectangle. The circles are tangent to each other and each is tangent to one of the longer sides of the rectangle. What is the greatest possible distance between the centers of the two circles?

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