
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
Let $b$ be the number of dens created by the beaver, and let $r$ be the number of dens created by the raccoon. The beaver stored $5b$ leaves and the raccoon stored $6r$ leaves. The beaver used $b$ dens and the raccoon used $r$ dens. The beaver and raccoon both stored the same total amount of leaves, and the raccoon used 3 fewer dens than the beaver. Determine the number of leaves stored by the beaver, $5b$.

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