
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 the equation $\frac{x^2 - (b+1)x}{2ax - c} = \frac{2m-3}{2m+1}$, find the value of $m$ if the sum of the roots of the equation equals $b+1$.
A) 1  
B) 1.5  
C) 2  
D) 2.5  
E) 3

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