
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 two circular pulleys with radii of 14 inches and 4 inches, and a distance of 24 inches between the points of contact of the belt with the pulleys, determine the distance between the centers of the pulleys in inches.

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