
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
Harry Potter is creating an enhanced magical potion called "Elixir of Life" (this is a very potent sleeping potion composed of powdered daffodil root and wormwood infusion. The concentration of the "Elixir of Life" is the percentage of daffodil root powder in the entire potion). He first adds a certain amount of wormwood infusion to the regular "Elixir of Life," making its concentration $9 \%$. If he then adds the same amount of daffodil root powder, the concentration of the "Elixir of Life" becomes $23 \%$. What is the concentration of the regular "Elixir of Life"? $\qquad$ $\%$.

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