
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
Point $P$ is the intersection of two lines $l_{1}: 3x+4y-2=0$ and $l_{2}: 2x+y+2=0$.

(Ⅰ) Find the coordinates of point $P$.

(Ⅱ) Find the equation of the line that passes through point $P$ and is parallel to the line $3x-2y+4=0$.

(Ⅲ) Find the equation of the line that passes through the origin and forms a right-angled triangle with lines $l_{1}$ and $l_{2}$.

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