
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
We define a pair of numbers $\left(m,n\right)$ that satisfy the equation $\frac{m}{2}+\frac{n}{4}=\frac{m+n}{2+4}$ as a "friendly number pair." For example, when $m=2$ and $n=-8$, the equation holds, so $\left(2,-8\right)$ is a "friendly number pair." If $\left(a,3\right)$ is a "friendly number pair," then $a=$____.

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