
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
Define the operation $\oplus$ on the set of real numbers $\mathbb{R}$: $a \oplus b = a + b + 4$. Also define: if there exists an element $e$ in $\mathbb{R}$ such that for all $a \in \mathbb{R}$, $e \oplus a = a$, then $e$ is called the identity element of $\mathbb{R}$. What is the value of the identity element $e$ in $\mathbb{R}$?

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