Let's break down the expression step by step:

The expression is:

$| -3 - |14| |$

Step 1: Evaluate the absolute value of 14

The absolute value of 14 is simply 14, because absolute value removes the negative sign, if present:

$|14| = 14$

Now, the expression becomes:

$| -3 - 14 |$

Step 2: Simplify inside the outer absolute value

Next, simplify the expression inside the outer absolute value:

$-3 - 14 = -17$

Now the expression becomes:

$| -17 |$

Step 3: Evaluate the absolute value of -17

The absolute value of -17 is 17:

$| -17 | = 17$

Final Answer:

So, the value of the expression is:

$\boxed{17}$

Would you like any further explanation or have more questions on this? Here are a few related questions:

1. How do you simplify expressions with multiple absolute values?
2. What is the difference between absolute value and regular arithmetic operations?
3. Can you explain how absolute value functions on negative numbers with an example?
4. How would you solve an expression like $| -5 + |7| |$?
5. What happens when you combine absolute values with addition or subtraction?

Tip: Always simplify the innermost absolute value first, working your way out to avoid errors!