
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
Determine the value of $n$ such that the roots of the equation $\frac{x^2 + cx+d}{2x - e} = \frac{n-2}{n+2}$ are numerically equal but have opposite signs.
A) $\frac{4 + 2c}{2 - c}$
B) $\frac{-4 - 2c}{c - 2}$
C) $\frac{4 - 2c}{2 + c}$
D) $\frac{-4 + 2c}{c + 2}$

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