Let's break down the expression step by step:

We are given:

$2 \cdot \left| -14 - (-4) \right| - 18$

Step 1: Simplify the inside of the absolute value.

$-14 - (-4) = -14 + 4 = -10$

So the expression becomes:

$2 \cdot \left| -10 \right| - 18$

Step 2: Evaluate the absolute value.

The absolute value of $-10$ is 10, since absolute value represents the distance from zero on the number line.

$2 \cdot 10 - 18$

Step 3: Multiply and simplify.

$2 \cdot 10 = 20$

So the expression becomes:

$20 - 18 = 2$

Final Answer:

$\boxed{2}$

---

Do you need any further clarification on this, or would you like to explore more related topics?

Here are some additional questions you can try:

1. How would the expression change if the absolute value was on a different part of the expression, such as $| -14 | - (-4)$?
2. What happens if we replace $-14$ with $-12$ in the original expression?
3. How do you handle absolute value expressions when they are combined with addition or subtraction?
4. Can absolute value expressions ever result in a negative number?
5. What are the properties of absolute value functions and their graphs?

Tip: Remember that absolute value always results in a non-negative number, regardless of whether the number inside is positive or negative.