
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 $k_1, k_2, \ldots, k_8$ is 3, then the variance of $2(k_1-3), 2(k_2-3), \ldots, 2(k_8-3)$ is __________. (Reference formula $$s^{2}= \frac{1}{n} \sum_{i=1}^{n} (x_{i} - \bar{x})^{2}$$)

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