
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 that the variance of the sample $a_1, a_2, a_3$ is 2, find the variance of the sample $2a_1+3, 2a_2+3, 2a_3+3$.

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