
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
In a Cartesian plane, you have points $A(p, q)$ and $B(r, s)$. Initially, the midpoint $M$ between $A$ and $B$ is calculated. Suppose $A$ is moved upwards by 6 units and to the right by 5 units, and $B$ is moved downwards by 4 units and to the left by 12 units. Determine the new midpoint $M'$ after the movements and calculate the distance from $M$ to $M'$.

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