
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 positive numbers \(a\), \(b\), and \(c\), it is known that

\[ \frac{a+b+c}{a+b-c} = 7, \quad \frac{a+b+c}{a+c-b} = 1.75 \]

What is the value of \( \frac{a+b+c}{b+c-a} \)?

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