The problem in the image asks to use the distributive property on the expression $5c + 2(10 - c)$.

Step-by-step solution:

1. Distribute the $2$ across the terms inside the parentheses: $2(10 - c) = 2 \times 10 - 2 \times c = 20 - 2c$

2. Now, substitute this result back into the original expression: $5c + 20 - 2c$

3. Combine like terms: $5c - 2c + 20 = 3c + 20$

Final Answer:

$3c + 20$

Would you like more details on any step? Here are a few related questions:

1. How does the distributive property work in different algebraic expressions?
2. What happens if the signs in the parentheses are negative?
3. How would you apply the distributive property with more than two terms?
4. Can you explain why combining like terms is important?
5. How would the answer change if different coefficients were used?

Tip: When simplifying expressions, always distribute first, then combine like terms to avoid mistakes!