
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
In a colorful family, there were equal numbers of white, blue, and striped octopus children. After some of the blue octopus children became striped, the father decided to count the children. The total number of blue and white octopus children was 10, and the total number of white and striped octopus children was 18. How many children are there in the colorful family?

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