
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
Given Maria has a collection of 30 coins, consisting of 5-cent coins, 10-cent coins, 20-cent coins, and 25-cent coins, and she has twice as many 10-cent coins as 5-cent coins, and the total value of her collection is 410 cents, find the difference between the number of 25-cent coins and 20-cent coins.

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