
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 with radii of $15$ inches for one and $5$ inches for the other are fitted with a taut, straight belt that does not cross itself. The belt touches each pulley at exactly one point and the straight-line distance between these two points of contact is $26$ inches. What is the distance between the centers of the two pulleys?
A) $28$
B) $2\sqrt{196}$
C) $2\sqrt{194}$
D) $30$

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