
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
Given $\frac{2}{{2-4}}+\frac{6}{{6-4}}=2$, $\frac{5}{{5-4}}+\frac{3}{{3-4}}=2$, $\frac{7}{{7-4}}+\frac{1}{{1-4}}=2$, $\frac{{10}}{{10-4}}+\frac{{-2}}{{-2-4}}=2$, derive the general equation.

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