The given expression is:

$9c - 10(4c - 2)$

Step 1: Distribute the $-10$ across the terms inside the parentheses.

$9c - 10(4c) + 10(2)$

$= 9c - 40c + 20$

Step 2: Combine like terms.

$(9c - 40c) + 20$

$= -31c + 20$

Thus, the expression simplified is:

$-31c + 20$

Let me know if you'd like more details or have any questions!

Related Questions:

1. How would you handle similar expressions with different coefficients?
2. Can you apply this method to expressions with more variables?
3. What if the distribution involved a fraction instead of an integer?
4. How would this change if we added more terms outside the parentheses?
5. How would you factor out common terms from the final expression?

Tip: Always ensure to distribute negative signs correctly when simplifying expressions with parentheses!