
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
The equation of line $l_{1}$ is $3x+4y-12=0$, and line $l_{2}$ passes through point $P(4,-5)$ and is parallel to $l_{1}$. The equation of $l_{2}$ is ________, and the distance between $l_{1}$ and $l_{2}$ is ________.

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