
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 circular pulleys, one with a radius of 18 inches and the other with a radius of 16 inches, are fitted with an uncrossed belt. If the distance between points where the belt contacts the pulleys is 40 inches, determine the distance between the centers of the pulleys.

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