
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 distance between two lines l<sub>1</sub>: 3x + 4y + 5 = 0 and l<sub>2</sub>: 6x + by + c = 0 is 3. Find the value of b + c.

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