
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 average of a set of data $(a\_1), (a\_2), (a\_3), (a\_4), (a\_5)$ is $8$, determine the average of the set of data $(a\_1+10), (a\_2-10), (a\_3+10), (a\_4-10), (a\_5+10)$.

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