
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 complex numbers $z\_1=(2m+7)+(m^{2}-2)i$ and $z\_2=(m^{2}-8)+(4m+3)i$, where $m \in \mathbb{R}$, find the value of $m$ such that $z\_1=z\_2$.

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