
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
On a balance scale, $4$ green balls balance $10$ blue balls, $3$ yellow balls balance $8$ blue balls, and $8$ blue balls are equal in weight to $6$ white balls. How many blue balls are needed to balance $5$ green, $5$ yellow, and $4$ white balls?

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