
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
Four friends were initially sharing the cost of renting a boat. Two additional friends joined later, which resulted in each of the original four paying $\$15$ less than initially planned. If the total cost of the boat rental was $\$180$, determine how much each of the six friends ultimately paid.

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