
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 $a_1, a_2, a_3, a_4, a_5, a_6$ is 3, calculate the variance of $2(a_1-3), 2(a_2-3), 2(a_3-3), 2(a_4-3), 2(a_5-3), 2(a_6-3)$.

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