
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 4 stacks of coins on the table. The first stack has 9 coins, the second has 7 coins, the third has 5 coins, and the fourth has 10 coins. In one move, you are allowed to add one coin to three different stacks. What is the minimum number of moves required to make all the stacks have an equal number of coins?

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