
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 a real number $a < 0$, and a function $f(x)=\left\{{\begin{array}{l}{2x+a, x＜1}\\{-x-2a, x≥1}\end{array}}\right.$, if $f\left(1-a\right)=f\left(1+a\right)$, solve for $a$.

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