
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 sets $A=\{x| -2 \lt x \lt 8\}$, $B=\{x| 2m-1 \lt x \lt m+3\}$, and the universal set $U=R$. If $A\cap B=\{x| a \lt x \lt b\}$ and $b-a=3$, find the value of the real number $m$.

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