
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
A line given by the equation $8x + 6y = 48$ forms a triangle with the coordinate axes. What is the sum of the lengths of the altitudes of this triangle?
A) $\frac{88}{5}$  
B) $\frac{94}{5}$  
C) $\frac{100}{5}$  
D) $\frac{110}{5}$  
E) $\frac{120}{5}$

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