
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
If the variance of $x_1, x_2, x_3, \ldots, x_{2009}$ is $3$, calculate the variance of $3(x_1-2), 3(x_2-2), 3(x_3-2), \ldots, 3(x_{2009}-2)$.

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