minus, 3, left parenthesis, minus, 9, a, minus, 9, right parenthesis, minus, 4, left parenthesis, 8, a, minus, 10, right parenthesis−3(−9a−9)−4(8a−10)

To simplify the expression \(-3(-9a - 9) - 4(8a - 10)\), we follow these steps:

1. **Distribute** the constants through the parentheses:
   - For \(-3(-9a - 9)\):
     \[
     -3 \cdot -9a = 27a \quad \text{and} \quad -3 \cdot -9 = 27
     \]
     So, \(-3(-9a - 9) = 27a + 27\).

   - For \(-4(8a - 10)\):
     \[
     -4 \cdot 8a = -32a \quad \text{and} \quad -4 \cdot -10 = 40
     \]
     So, \(-4(8a - 10) = -32a + 40\).

2. **Combine** the results:
   \[
   27a + 27 - 32a + 40
   \]

3. **Combine like terms**:
   - Combine the \(a\) terms: \(27a - 32a = -5a\).
   - Combine the constant terms: \(27 + 40 = 67\).

So, the simplified expression is:
\[
-5a + 67
\]

Would you like further details on any step, or do you have questions? Here are some related questions you might consider:

1. How would you solve for \(a\) if the expression equals zero?
2. Can you explain the distributive property used in this simplification?
3. What are some similar expressions that can be simplified?
4. How does combining like terms work in algebra?
5. What is the significance of simplifying expressions in solving equations?

**Tip:** Always distribute and combine like terms carefully to avoid mistakes in algebraic simplifications.

Discover how to simplify the expression -3(-9a - 9) - 4(8a - 10) step-by-step. This tutorial covers the distributive property and combining like terms, making it ideal for Grades 7-9 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation