Let's simplify the expression step by step:

Given:  
\[ 10w - 3(8w + 9) \]

1. First, distribute the \(-3\) to both terms inside the parentheses:

\[
10w - 3(8w) - 3(9)
\]

2. This gives:

\[
10w - 24w - 27
\]

3. Combine like terms (the terms involving \(w\)):

\[
(10w - 24w) - 27 = -14w - 27
\]

So, the simplified expression is:

\[
-14w - 27
\]

Would you like more details or have any questions?

Here are 5 related questions to practice:

1. Simplify: \( 5x - 4(3x + 2) \)
2. Expand: \( 2y + 3(4y - 7) \)
3. Simplify: \( 7p - 2(5p + 8) \)
4. Expand: \( 6m + 5(9m - 3) \)
5. Simplify: \( 8n - 6(2n + 5) \)

**Tip:** Always distribute negative signs carefully when expanding expressions to avoid mistakes!

Learn how to simplify the algebraic expression 10w - 3(8w + 9) using the distributive property. This step-by-step guide covers essential algebra concepts such as combining like terms and is suitable for students in Grades 6-8.

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