The problem asks to "Find the value of the absolute value."

We are given the expression: $9 + | -3 | \cdot 15$ The absolute value of $-3$ is $3$, since absolute value turns negative numbers into their positive counterparts.

Substituting $3$ for $| -3 |$, the equation becomes: $9 + 3 \cdot 15$ Now, perform the multiplication: $3 \cdot 15 = 45$ So the expression is: $9 + 45 = 54$ Thus, the final result is: $\boxed{54}$

Would you like further details on any part of this process?

Here are 5 related questions for practice:

1. What is the absolute value of $-7$?
2. Simplify the expression $10 + | -5 | \cdot 6$.
3. If $x = -4$, what is $| x | \cdot 8$?
4. What is the value of $12 + | -2 | \cdot 9$?
5. How do you calculate the absolute value of a negative number?

Tip: The absolute value of a number is always non-negative, regardless of whether the original number is positive or negative.