
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 that Tom paid $$105$, Dorothy paid $$125$, and Sammy paid $$175$, and the costs are to be shared equally, find the difference between the amount Tom gave to Sammy and the amount Dorothy gave to Sammy.

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