Question

evaluate.
$18 - 2|4 - (-2)|$

Explanation:

Step1: Simplify the expression inside the absolute value

First, we simplify the expression inside the absolute value: \(4 - (-2)\). Subtracting a negative is the same as adding the positive, so \(4 - (-2)=4 + 2 = 6\).

Step2: Evaluate the absolute value

The absolute value of 6, denoted as \(|6|\), is 6.

Step3: Perform the multiplication

We have \(2\times|4 - (-2)| = 2\times6 = 12\).

Step4: Perform the subtraction

Now, we subtract this result from 18: \(18-12 = 6\).

Answer:

\(6\)