Let's solve the given expression step-by-step:

The expression is:

\[
2(5 - 3) + 4(6 + 2)
\]

### Step 1: Solve the expressions inside the parentheses.

\[
5 - 3 = 2 \quad \text{and} \quad 6 + 2 = 8
\]

Substitute these values back into the expression:

\[
2(2) + 4(8)
\]

### Step 2: Perform the multiplication.

\[
2 \times 2 = 4 \quad \text{and} \quad 4 \times 8 = 32
\]

Now, the expression becomes:

\[
4 + 32
\]

### Step 3: Perform the addition.

\[
4 + 32 = 36
\]

### Final Answer:

\[
\boxed{36}
\]

Would you like more details or have any questions?  

Here are some related questions to explore:

1. How do you solve expressions involving multiple operations?
2. What is the order of operations, and why is it important?
3. How can parentheses affect the outcome of mathematical expressions?
4. How do you distribute multiplication over addition?
5. How do you handle negative numbers in similar expressions?

**Tip:** Always solve expressions inside parentheses first and follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Learn how to solve the expression 2 times the quantity 5 minus 3 plus 4 times the quantity 6 plus 2 step-by-step with a detailed explanation. This problem covers order of operations, multiplication, and addition of integers. Suitable for students in Grades 6-8.

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