Let's solve the expression step by step:

\[ 4 - 2(8 - 11) + 6 \]

### Step 1: Simplify inside the parentheses.
\[ 8 - 11 = -3 \]
Now the expression is:
\[ 4 - 2(-3) + 6 \]

### Step 2: Multiply \(-2\) by \(-3\).
\[ -2 \times -3 = 6 \]
Now the expression becomes:
\[ 4 + 6 + 6 \]

### Step 3: Add the terms.
\[ 4 + 6 = 10 \]
\[ 10 + 6 = 16 \]

So, the final result is:
\[ \boxed{16} \]

Would you like further clarification or details on this process?

Here are five questions related to this:

1. What is the order of operations in mathematical expressions?
2. How do parentheses affect operations in an equation?
3. Why is it important to simplify inside parentheses first?
4. What are some common mistakes when using negative numbers in equations?
5. How does the distributive property apply to this problem?

**Tip:** Always follow the PEMDAS rule (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) when simplifying expressions.

Learn how to solve the algebraic expression 4 - 2(8 - 11) + 6 step-by-step using the order of operations (PEMDAS) and the distributive property. This problem is perfect for students in Grades 6-8 and covers simplifying expressions inside parentheses and handling negative numbers.

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