
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
David at work produces $w$ widgets per hour and works $t$ hours on Monday. The following day, Tuesday, he reduces his working hours by $3$ hours and increases his productivity by $6$ widgets per hour. If $w = 3t$, determine how many more widgets David produced on Monday than on Tuesday.

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