Calculate the Absolute Value: Evaluating |2 - 7|

To solve this problem, we'll follow these steps:

• Step 1: Compute the result of $2 - 7$.
• Step 2: Apply the definition of absolute value to the result obtained.

Let's work through each step:
Step 1: Calculate $2 - 7$.
This results in $2 - 7 = -5$.

Step 2: Take the absolute value of $-5$.
The absolute value $|-5|$ is equal to $5$. Absolute value represents the distance of a number from zero on the number line, making it always non-negative.

Therefore, the solution to the problem is $\boxed{5}$.