
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
In a math class, when calculating $(-4\frac{2}{3})-1\frac{5}{6}-(-18\frac{1}{2})+(-13\frac{3}{4})$, Ningning's method is as follows:<br/>The original expression $=-4\frac{2}{3}-1\frac{5}{6}+18\frac{1}{2}-13\frac{3}{4}$ (Step 1)<br/>$=-4-\frac{2}{3}-1+\frac{5}{6}+18+\frac{1}{2}-13-\frac{3}{4}$ (Step 2)<br/>$=\left(-4-1+18-13\right)+(-\frac{2}{3}+\frac{5}{6})(\frac{1}{2}-\frac{3}{4})$ (Step 3)<br/>$=\frac{1}{6}-\frac{1}{4}$ (Step 4)<br/>$=-\frac{1}{12}$ (Step 5)<br/>$(1)$ In Ningning's method, the original expression was written in the form of ______ in the first step, reflecting the mathematical idea of ______;<br/>$(2)$ The third step of the solution used the ______ property of operations;<br/>$(3)$ Ningning's method started to make mistakes from the ______ step, write down the correct calculation process.

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