
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 latest album of a famous band has a sticker price of $30. A music store offers two promotional discounts: $5 off and $25\%$ off. A savvy customer wants to arrange the order of discounts to minimize the cost. Determine how much more the customer will save by choosing the optimal order of applying the discounts, expressed in cents.

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