Let’s solve the two expressions provided in the image step-by-step:

13) $3(-5n + 5) + 7(-5n + 3)$

Step 1: Distribute

• $3(-5n + 5) = -15n + 15$
• $7(-5n + 3) = -35n + 21$

Step 2: Combine terms

• Combine like terms for $n$: $-15n - 35n = -50n$
• Combine constants: $15 + 21 = 36$

Final Answer:

$-50n + 36$

15) $10(8x + 2) - 2(2 - 5x)$

Step 1: Distribute

• $10(8x + 2) = 80x + 20$
• $-2(2 - 5x) = -4 + 10x$

Step 2: Combine terms

• Combine like terms for $x$: $80x + 10x = 90x$
• Combine constants: $20 - 4 = 16$

Final Answer:

$90x + 16$

Let me know if you would like further clarification or detailed breakdowns! 😊

Related Questions:

1. How do you simplify algebraic expressions involving distribution?
2. What are the key rules for combining like terms?
3. How do you handle negative signs in distribution?
4. What is the importance of grouping similar terms in algebra?
5. Can these methods apply to solving equations?

Tip:

Always carefully distribute and pay attention to the signs of terms to avoid small errors.