
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 that Orvin went to the store with exactly enough money to buy $42$ balloons at the regular price, and he spent money on discounted balloons with a strategy of buying $1$ balloon at the regular price and getting the next at $\frac{1}{2}$ off, and then buying additional balloons for twice the regular price with extra money, find the greatest number of balloons Orvin could buy with an additional $18$ dollars if the regular price of each balloon is $2.

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