
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
Let $Q(n)$ and $T(n)$ denote the quotient and the total sum, respectively, of the digits of the integer $n$ when the tens digit is divided by the units digit. For instance, if $n = 24$, then $Q(24) = 2$ (since $2 \div 4$ is approximately $0.5$, rounded to the nearest whole number) and $T(24) = 6$. Suppose $M$ is a two-digit number such that $M = Q(M) + T(M)$. What is the units digit of $M$?

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