
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 $l_{1}$: $2x+2y-5=0$, $l_{2}$: $4x+ny+1=0$, $l_{3}$: $mx+6y-5=0$. If $l_{1}$ is parallel to $l_{2}$ and $l_{1}$ is perpendicular to $l_{3}$, determine the value of $m+n$.

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