
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
Consider the line $8x + 7y = 56$ that forms a triangle with the coordinate axes. What is the sum of the lengths of the altitudes of this triangle?
A) 18.6
B) 19.3
C) 20.27
D) 21.5
E) 22.4

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