Let's solve the expression step by step:

$-3(-2f + 5) + 10 - 10f$

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

$-3 \times (-2f) + (-3) \times 5 + 10 - 10f$

This gives us:

$6f - 15 + 10 - 10f$

Step 2: Combine like terms

Now, let's group the terms with $f$ and the constant terms:

• Combine $6f$ and $-10f$: $6f - 10f = -4f$

• Combine the constants $-15$ and $+10$: $-15 + 10 = -5$

Final simplified expression:

$-4f - 5$

This is the simplified form of the given expression.

Would you like any further explanation or details on this solution? Here are some related questions:

1. How do you distribute terms in expressions?
2. What is the difference between like terms and unlike terms in algebra?
3. How do you solve linear equations involving variables like $f$?
4. What happens when you have both positive and negative constants in an expression?
5. How do you simplify expressions with multiple variables?

Tip: Always check if the parentheses contain terms that need to be multiplied or distributed across the entire group, especially when signs are involved!