
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 $l_1: 3x+4y-2=0$ and $l_2: 2x+y+2=0$, where $l_1$ and $l_2$ intersect at point P.  
(Ⅰ) Find the coordinates of point P and the distance from point P to the line $4x-3y-6=0$;  
(Ⅱ) Find the equations of the lines that pass through point P and are parallel and perpendicular to the line $3x-y+1=0$, respectively.

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