To simplify the expression $5(-6c - 3) + 10c$, follow these steps:

1. Distribute the 5 across the terms inside the parentheses: $5 \times (-6c) + 5 \times (-3) = -30c - 15$

2. Now add the remaining $10c$: $-30c - 15 + 10c$

3. Combine the like terms: $(-30c + 10c) - 15 = -20c - 15$

So, the simplified expression is: $-20c - 15$

Would you like further details or have any questions about this?

Here are 5 related questions:

1. How do you simplify expressions with multiple parentheses?
2. What happens if there's a negative sign in front of the parentheses?
3. How do you combine like terms in algebraic expressions?
4. What are the common steps for factoring out terms in expressions like this?
5. How would the solution change if the expression had powers of $c$?

Tip: Always look for like terms (same variable and exponent) to combine them for simplification.