
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
A store owner decides to have a clearance sale for two items. A $\$15$ hat is discounted by $20\%$ and then $40\%$ off the reduced price. Simultaneously, an $\$8$ pair of gloves receives a $25\%$ discount followed by a $30\%$ discount on the reduced price. What are the final prices for both items?

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