
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 points $x_1, x_2, \ldots, x_8$ have a mean of 6 and a standard deviation of 2, if the data points $3x_1-5, 3x_2-5, \ldots, 3x_8-5$ have a mean of $a$ and a variance of $b$, then find the value of $a+b$.

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