
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
When Xiao Ming calculated $(-36)÷(-\frac{1}{2}+\frac{1}{6}-\frac{1}{3})$, his method was as follows: <br/> The original expression $=(-36)÷(-\frac{1}{2})+(-36)÷\frac{1}{6}+(-36)÷(-\frac{1}{3})=72-216+108=-36$. <br/> Please determine whether Xiao Ming's calculation process is correct. If incorrect, please write out the correct calculation process.

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