
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
Given a set of data $k_1, k_2, \ldots, k_8$ with a mean of 3 and a variance of 3, find the mean and variance of the data set $2(k_1+3), 2(k_2+3), \ldots, 2(k_8+3)$.

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