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!