Let's go through the solutions to some of the exercises in the image.

A. Exercises: Simplify

1. $5(7b)$
   $= 35b$

2. $4(13r)$
   $= 52r$

3. $(8d)44$
   $= 8d \times 44 = 352d$

4. $6(9n)$
   $= 54n$

5. $3(28w)$
   $= 84w$

6. $(79k)56$
   $= 79k \times 56 = 4424k$

7. $(m + 5) + 8$
   $= m + 5 + 8 = m + 13$

8. $(s + 4) + 12$
   $= s + 4 + 12 = s + 16$

9. $(119 + m) + 47$
   $= 119 + m + 47 = m + 166$

10. $(a + 17) + 6$
    $= a + 17 + 6 = a + 23$

11. $(a + 34) + 28$
    $= a + 34 + 28 = a + 62$

12. $(56 + p) + 135$
    $= 56 + p + 135 = p + 191$

B. Exercises: Simplify

13. $2x + 5x$
    $= 7x$

14. $b + 19 - 5b - 7$
    $= b - 5b + 19 - 7 = -4b + 12$

15. $7m - 3m + 1$
    $= 4m + 1$

16. $5r + 8s - 2r + 3s$
    $= 3r + 11s$

17. $-7 + 9a + 4$
    $= 9a - 3$

18. $y + 11 - 5y + 4 - 3y$
    $= y - 5y - 3y + 11 + 4 = -7y + 15$

19. $4 + 9p + 2 + 3p$
    $= 9p + 3p + 4 + 2 = 12p + 6$

20. $6w - 8x - 2w + 3 - 4x$
    $= 6w - 2w - 8x - 4x + 3 = 4w - 12x + 3$

Tip:

When simplifying, combine like terms (terms with the same variables or constants) by adding or subtracting their coefficients.

Would you like to dive deeper into specific problems or proceed with the next part of the exercises?

Here are 5 questions to extend the topic:

1. What is the importance of combining like terms in algebra?
2. How do you distribute coefficients when simplifying expressions?
3. Can you explain the difference between simplifying an expression and solving an equation?
4. How do parentheses affect the process of simplifying algebraic expressions?
5. Why is it important to simplify expressions before solving for variables?

Tip: Always double-check your distribution and sign changes when simplifying to avoid small mistakes!