
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 the lines $l_1: x=2$ and $l_2: 3x+5y-30=0$, and point $P$ as any point on the parabola $y^2=-8x$, find the minimum value of the sum of distances from $P$ to lines $l_1$ and $l_2$.

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