
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
Calculate the equation of the line $l_2$ that passes through the intersection point M of the lines $3x+4y-5=0$ and $2x-3y+8=0$, and is parallel to the line $l_1: 2x+y+5=0$. Also, find the distance between lines $l_1$ and $l_2$.

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