https://file.aiquickdraw.com/mathbot/file/1726840960339x4er18fg.jpg

The expression given is:

\[
2 \left( 2.5 - | -6 | \right)
\]

### Step 1: Simplify the absolute value
The absolute value of \(-6\) is \(6\), because absolute values remove the negative sign:

\[
| -6 | = 6
\]

Now, substitute this back into the expression:

\[
2 \left( 2.5 - 6 \right)
\]

### Step 2: Perform the subtraction inside the parentheses
Now, calculate:

\[
2.5 - 6 = -3.5
\]

So, the expression becomes:

\[
2 \times (-3.5)
\]

### Step 3: Multiply
Now, multiply:

\[
2 \times (-3.5) = -7
\]

Thus, the simplified expression is:

\[
\boxed{-7}
\]

Would you like more details on any step?

Here are some related questions you might consider:
1. What are the properties of absolute value functions?
2. How do we handle operations with negative numbers?
3. What are the rules for multiplying with negative numbers?
4. Can you generalize this process for more complex expressions?
5. How does distribution work in expressions with parentheses?

**Tip:** Always handle absolute values before performing any arithmetic operations.

Simplify the expression 2(2.5 − |−6|).

Learn how to simplify the expression 2(2.5 - |−6|) with a step-by-step breakdown. This problem covers concepts such as absolute value and order of operations, making it ideal for students in Grades 6-8.

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