
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 the data set $x\_1$, $x\_2$, ..., $x\_8$ with a mean of 6 and a standard deviation of 2, the data set $3x\_1-5$, $3x\_2-5$, ..., $3x\_8-5$ has a mean of a and a variance of b. Find $a+b=$ \_\_\_\_\_\_.

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