
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
Point $A$ and point $B$ on the number line represent numbers that are opposite to each other. The number corresponding to point $A$ is $-2$. Point $P$ is a point on the number line that is $3$ units away from either point $A$ or point $B$. The sum of all numbers represented by points $P$ that satisfy the conditions is ____.

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