
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 Leah has $20$ coins consisting of pennies, nickels, and dimes, and if she had $4$ more dimes than she currently has, all three types of coins would be of equal amount, calculate the total value of Leah's coins in cents.

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