To simplify the expression \( 2(6 - 2z) \), distribute the \( 2 \) to both terms inside the parentheses:

\[
2(6 - 2z) = 2 \cdot 6 - 2 \cdot 2z
\]

Now, calculate each term:

\[
2 \cdot 6 = 12
\]
\[
2 \cdot 2z = 4z
\]

So, the expression simplifies to:

\[
12 - 4z
\]

Would you like further details or have any questions?

Here are 5 related questions to consider:
1. How would you simplify \( 3(4 - 5x) \)?
2. What is the result of multiplying \((7 - 3y)\) by \(-2\)?
3. How do you factor the expression \(12 - 4z\)?
4. What happens when you distribute a negative number, e.g., \(-3(2 - z)\)?
5. How do you simplify an expression like \(2(6 - z)\) if \(z = 3\)?

**Tip:** When simplifying expressions, carefully distribute multiplication across all terms inside parentheses to avoid mistakes.

Learn how to simplify the expression 2(6 - 2z) step-by-step with detailed explanation and examples. This problem involves using the distributive property of multiplication over addition and subtraction. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation