
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
A peasant woman sold eggs to two buyers: to the first one, she sold $\frac{1}{3}$ of the eggs she had along with 15 more eggs, and to the second one, she sold $\frac{7}{9}$ of the remaining eggs along with the last 10 eggs. How many eggs did the peasant woman sell in total?

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