
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
Read the following material first, then answer the question below: Calculate: $10\div (\frac{1}{2}-\frac{1}{3}+\frac{1}{6})$. Solution 1: Original expression $=10\div \frac{1}{2}-10\div \frac{1}{3}+10÷\frac{1}{6}=10\times 2-10\times 3+10\times 6=50$; Solution 2: Original expression $=10\div (\frac{3}{6}-\frac{2}{6}+\frac{1}{6})=10÷\frac{2}{6}=10\times 3=30$; Solution 3: The reciprocal of the original expression is $(\frac{1}{2}-\frac{1}{3}+\frac{1}{6})\div 10=(\frac{1}{2}-\frac{1}{3}+\frac{1}{6})\times \frac{1}{10}=\frac{1}{2}×\frac{1}{10}-\frac{1}{3}×\frac{1}{10}+\frac{1}{6}×\frac{1}{10}=\frac{1}{30}$. Therefore, the original expression $=30$. $(1)$ The results obtained above are different, there must be an incorrect solution, you think solution ______ is wrong. $(2)$ Choose one of the correct methods above to solve the following problem: Calculate: $(-\frac{1}{28})\div (\frac{1}{2}-\frac{1}{4}+\frac{1}{7}-\frac{1}{14})$.

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