
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
Given the sets $A=\{x||x−2| < 3, x\in R\}$ and $B=\{x|x^2-2x-m < 0\}$.

(I) Find $A\cap(\neg_R B)$ when $m=3$;

(II) Find the value of the real number $m$ if $A\cap B=\{x|−1 < x < 4\}$.

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