
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
In the complex plane, the complex number $z=a+bi$ ($a,b\in\mathbb{R}$) is symmetric to the complex number $i(i-2)$ with respect to the real axis. What is the value of $a+b$?
A) 1  
B) -3  
C) 3  
D) 2

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