
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
The average of the data $x_{1}$, $x_{2}$, ..., $x_{8}$ is $6$, and the variance is $4$. If the average of the data $3x_{1}-5$, $3x_{2}-5$, ..., $3x_{8}-5$ is $a$, and the variance is $b$, then $a+b=$ __.

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