
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
The workers in a factory produce gadgets and gizmos. For each product, production time is constant but differs for the two products. In two hours, 80 workers can produce 320 gadgets and 480 gizmos. In three hours, 100 workers can produce 600 gadgets and 900 gizmos. In four hours, 40 workers can produce 160 gadgets and $n$ gizmos. Find $n$.

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