
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
Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs. During their trip Tom paid $140, Dorothy paid $90, and Sammy paid $220. To balance the costs so that each pays an equal amount, Tom gave Sammy t dollars, and Dorothy gave Sammy d dollars. Calculate the value of t - d.

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