
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
When George places his marbles into bags with 8 marbles per bag, he has 5 marbles left over. When John does the same with his marbles, he has 6 marbles left over. George then acquires 5 more marbles. Announce the number of marbles leftover when their total number of marbles is placed into as many bags as possible, carrying 8 marbles per bag.

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