
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
Below is the incorrect solution of two students, A and B, calculating $-{1}^{4}-(1-0.4)×\frac{1}{3}×(2-{3}^{2})$.<br/>$(1)$ Please circle the first step where each of them made a mistake and explain the error;<br/>$(2)$ Write down the correct solution.<br/>

|           | Student A | Student B |
|-----------|-----------|-----------|
| Wrong Solution | $-{1}^{4}-(1-0.4)×\frac{1}{3}×(2-{3}^{2})$<br/>$=-1-0.6×\frac{1}{3}×(2-6)$<br/>$=-1-0.2\times \left(-4\right)$<br/>$=-1+0.8$<br/>$=-0.2$ | $-{1}^{4}-(1-0.4)×\frac{1}{3}×(2-{3}^{2})$<br/>$=1-0.6×\frac{1}{3}×(2-9)$<br/>$=1-0.2\times \left(-7\right)$<br/>$=1-\left(-1.4\right)$<br/>$=2.4$ |
| Error Reason | ______ | ______ |
| Correct Solution | ______ | ______ |

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