
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
If an integer of two digits is $2k$ times the sum of its digits, then what is the number formed by interchanging the digits of this integer less three times the original sum of its digits? Select the correct option that describes this result as a multiplication factor of the sum of its digits.
A) $4k + 9$
B) $9 - 4k$
C) $11 - 2k$
D) $4k - 9$
E) $2k - 11$

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