
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
Six aluminum cans are required to create one new can. In a collection of 500 cans, 20 cans are damaged and can't be recycled. How many total new cans can eventually be made from this collection, considering that newly made cans can also be recycled?

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