
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
(2013·Xuzhou Initial) Given that the line $y = a$ intersects with the graphs of the functions $f(x) = 2x$ and $g(x) = 3\cdot2x$ at points A and B, respectively, the distance between points A and B is ______.

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