
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 works at a widget factory where on Monday he typically produces $w$ widgets per hour for $t$ hours. Feeling even more tired on Tuesday, he cuts back his working hours by 3 but increases his production rate by 5 widgets per hour compared to Monday. Given that $w = 2t$, determine how many more widgets David made on Monday compared to Tuesday.

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