Simplify the expression:
2
(
5
a
−
4
a
)
+
6
a
2(5a−4a)+6a

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

**Expression:**  
\( 2(5a - 4a) + 6a \)

1. **Simplify inside the parentheses:**
   
   \[
   5a - 4a = a
   \]

2. **Substitute the simplified term back:**

   \[
   2(a) + 6a
   \]

3. **Distribute the 2:**

   \[
   2a + 6a
   \]

4. **Combine like terms:**

   \[
   2a + 6a = 8a
   \]

So, the simplified expression is:

\[
8a
\]

Would you like further details or have any questions?

---

### Related Questions:
1. How do you handle more complex expressions with nested parentheses?
2. What happens if we include different variables, like \( a \) and \( b \)?
3. How do you factor the final simplified expression \( 8a \)?
4. What if there are exponents involved, such as \( a^2 \)?
5. Can this be visualized on a graph? If so, what would it look like?

### Tip:
Always simplify expressions inside parentheses first to avoid errors in larger calculations!

Learn how to simplify the algebraic expression 2(5a − 4a) + 6a in a few simple steps. This problem covers key algebraic concepts, including using the distributive property and combining like terms. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation