The expression provided is:

$4c + 8d - 3(6c - 2d)$

Step 1: Distribute the $-3$ across the terms inside the parentheses

$= 4c + 8d - 3 \cdot 6c + 3 \cdot 2d$ $= 4c + 8d - 18c + 6d$

Step 2: Combine like terms

• Combine the terms with $c$: $4c - 18c = -14c$
• Combine the terms with $d$: $8d + 6d = 14d$

Final simplified expression:

$-14c + 14d$

Would you like further details or have any questions?

Here are some related questions:

1. How do you distribute a negative sign over a parenthesis?
2. What is the process of combining like terms in an expression?
3. Can you explain how to handle coefficients during simplification?
4. What are common mistakes to avoid when simplifying algebraic expressions?
5. How do you identify like terms in more complex expressions?

Tip: Always double-check the signs when distributing across parentheses to avoid errors.