To simplify the expression \( 2(3a - 4) \), you can distribute the 2 to both terms inside the parentheses:

\[
2(3a - 4) = 2 \cdot 3a - 2 \cdot 4
\]

This simplifies to:

\[
6a - 8
\]

So, the simplified expression is \( 6a - 8 \).

Would you like any further details or have any questions?

Here are 5 related questions to expand on this topic:
1. How would you solve \( 2(3a - 4) = 10 \)?
2. What happens if you factor out the greatest common factor in \( 6a - 8 \)?
3. How would you simplify \( 3(4a - 5) - 2(2a + 3) \)?
4. Can you solve \( 6a - 8 = 0 \) for \( a \)?
5. What is the distributive property and how is it applied in algebraic expressions?

**Tip:** Always distribute multiplication over both terms inside parentheses before combining like terms.

Learn how to simplify the algebraic expression 2(3a - 4) using the distributive property. This step-by-step explanation covers core algebraic concepts and is suitable for students in Grades 6-8.

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