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Answer and Step-by-step explanation:

1. 3(5x - 4) = 8x + 2

15x - 12 = 8x + 2

15x - 8x = 2 + 12

7x = 14

x = 2

2. 9(n + 3) = 7n - 3

9n + 27 = 7n - 3

9n – 7n = -3 – 27

2n = – 30

n = –15

3. 2(10 - 6x) = x - 8x

20 - 12x = -7x

20 = -7x + 12x

20 = 5x

x = 4

4. 5a + 4(3a - 8) = 4 + 13a

5a + 12a - 32 = 4 + 13a

17a - 32 = 4 + 13a

17a - 13a = 4 + 32

4a = 36

a = 9

5. 2y + 18 = 12 - 6(y + 7)

2y + 18 = 12 - 6y - 42

2y + 6y = 12 - 42 - 18

8y = -48

y = -6

6. x - (5 - 3x) = 7x + 4

x - 5 + 3x = 7x + 4

4x - 7x= 4 + 5

-3x = 9

x = -3

7. 8(m - 5) = 2(3m - 8)

8m - 40 = 6m - 16

8m - 6m = -16 + 40

2m = 24

m = 12

8. -4(3 - 6d) = 9(2d - 2)

-12 + 24d = 18d - 18

24d - 18d = -18 + 12

6d = -6

d = -1

9. 7(10 - 3w) = 5(15 - 4w)

70 - 21w = 75 - 20w

-21w + 20w = 75 - 70

-w = 5

w = -5

10. 6t + 3(5t - 4) = 12(2t - 5)

6t + 15t - 12 = 24t - 60

21t - 24t = -60 + 12

- 3t = -48

t = 16

11. 2(9x - 1) = 99 - 7(3 - 4x)

18x - 2 = 99 - 21 + 28x

18x - 28x = 99 - 21+2

-10x = 80

x = -8

12. 6(5k - 8) - 20 = 11(2k - 3) + 3k

30k - 48 - 20 = 22k - 33 + 3k

30k - 68 = 25k - 33

30 - 25k = -33 + 68

5k = 35

k = 7

13. - x - (13 + 4x) = -3(5 - 9x) + 2

-x -13 - 4x = -15 + 27x + 2

-5x - 13 = -13 + 27x

-13 + 13 = 27x + 5x

0 = 32x

x = 0

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