
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
Sophie works at a factory where she produces $w$ widgets per hour and works for $t$ hours on a Wednesday. Feeling the need to reduce her hours on Thursday, she decides to work $3$ fewer hours, but she increases her production rate by $5$ widgets per hour. If $w = 3t$, how many more widgets did Sophie produce on Wednesday than on Thursday?

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