
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
Add a fifth number, $n$, to the set $\{4, 7, 8, 12\}$ such that the mean of this new set equals its median. Find the possible values for $n$ which satisfy this condition.
A) 1
B) 2
C) 3 (Correct)
D) 4
E) More than 4

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