
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
There are three different types of batteries, A, B, and C, each with a different price. With a certain amount of money, you can buy 4 of type A, 18 of type B, and 16 of type C; or 2 of type A, 15 of type B, and 24 of type C; or 6 of type A, 12 of type B, and 20 of type C. If all this money is used to buy type C batteries, how many can be bought?

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