
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
The difference of the squares of two numbers is 6, and if each of these numbers is decreased by 2, the difference of their squares becomes 18. What is the sum of these numbers?

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