
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 two lines $l\_1$: $(m+3)x+4y+3m-5=0$, $l\_2$: $2x+(m+6)y-8=0$, and $l\_1 \perp l\_2$, find a direction vector of line $l\_1$.

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