
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
A paint mixture needs to be created such that the ratio of red to white to blue paint is 3:2:1. Liam wants to produce 60 cans of this mixture, where all cans hold the same volume. How many cans of each type of paint will Liam need?

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