
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 a geometric sequence $\{a_n\}$ where all terms are positive, and it is known that $a_6 \cdot a_{10} + a_3 \cdot a_{5} = 26$ and $a_5 \cdot a_{7} = 5$, determine the value of $a_4 + a_8$.

A) 4  
B) 5  
C) 6  
D) 7

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