1. 3a = - 9
a = -9/3 = -3
2. - 8b = - 16
-8b = -16/-8 = 2
3. k + 6 = - 2
k = -2-6 = -8
4. L - 7 = 14
L = 14 + 7 = 21
5.4 - c = 8-
-c = -8 - 4 = -12
6. - 3 - d = - 4
-d = -4 + 3 = -1
7. 3g - 7 = 8
3g = 8 + 7
g = 15/3 = 5
8. 6h + 5 = - 31
6h = -31 -5
h = -36/6 = -6
9. 4 - 5w = 49
-5w = 49 - 4
w = 45/5 = 9
10. 13 - 8z = - 67
-8z = -67 - 13
-8z = -80
z = -80/8 = -10
11.4e - 9 = 2e - 3
4e - 2e = -3 + 9
2e = 6
e = 6/2 = 3
12. 3f + 8 = 4f + 9
3f - 4f = 9 - 8
-f = 1
f = -1
13. 5m - 9 = 2m + 3
5m - 2m = 3 + 9
3m = 12
m = 12/3 = 4
14. 6n - 11 = 13n + 3
-13n + 6n = 3 + 11
-7n = 14
n = 14/7 = 2
15. (4i + 4)/9 = - 4
4i + 4 = -4 x 9
4i + 4 = -36
4i = -36 - 4
4i = 40
i = 40/4 = 10
16. (6j - 14)/5 = 817. (6j - 14)/5 = 8
(?)
17. 1/4 * (8v - 12) = 1/3 * (9v + 12)
2v - 3 = 3v + 12
-12 - 3 = 3v - 2v
-15 = v
18. 3/5 * (25u + 40) = 1/8 * (24u + 960)
3(5u + 8) = 3u + 120
15u + 24 = 3u + 120
15u - 3u = 120 - 24
12u = 96
u = 96/12 = 8
19. 2/3 * (18y - 27) = 3/4 * (12y - 44)
2(6y - 9) = 3(3y - 11)
12y - 18 = 9y - 33
12y + 9y = - 33 + 18
21 y = -15
y = -15/21
y = -5/7
20. 5/6 * (24x - 48) = 4/5 * (10x + 40)
5(4x - 8) = 4(2x + 8)
20x -8 = 8x + 32
20x - 8x = 32 + 8
12 x = 32 - 8
x = 24/12
x = 2
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1. 3a = - 9
a = -9/3 = -3
2. - 8b = - 16
-8b = -16/-8 = 2
3. k + 6 = - 2
k = -2-6 = -8
4. L - 7 = 14
L = 14 + 7 = 21
5.4 - c = 8-
-c = -8 - 4 = -12
6. - 3 - d = - 4
-d = -4 + 3 = -1
7. 3g - 7 = 8
3g = 8 + 7
g = 15/3 = 5
8. 6h + 5 = - 31
6h = -31 -5
h = -36/6 = -6
9. 4 - 5w = 49
-5w = 49 - 4
w = 45/5 = 9
10. 13 - 8z = - 67
-8z = -67 - 13
-8z = -80
z = -80/8 = -10
11.4e - 9 = 2e - 3
4e - 2e = -3 + 9
2e = 6
e = 6/2 = 3
12. 3f + 8 = 4f + 9
3f - 4f = 9 - 8
-f = 1
f = -1
13. 5m - 9 = 2m + 3
5m - 2m = 3 + 9
3m = 12
m = 12/3 = 4
14. 6n - 11 = 13n + 3
-13n + 6n = 3 + 11
-7n = 14
n = 14/7 = 2
15. (4i + 4)/9 = - 4
4i + 4 = -4 x 9
4i + 4 = -36
4i = -36 - 4
4i = 40
i = 40/4 = 10
16. (6j - 14)/5 = 817. (6j - 14)/5 = 8
(?)
17. 1/4 * (8v - 12) = 1/3 * (9v + 12)
2v - 3 = 3v + 12
-12 - 3 = 3v - 2v
-15 = v
18. 3/5 * (25u + 40) = 1/8 * (24u + 960)
3(5u + 8) = 3u + 120
15u + 24 = 3u + 120
15u - 3u = 120 - 24
12u = 96
u = 96/12 = 8
19. 2/3 * (18y - 27) = 3/4 * (12y - 44)
2(6y - 9) = 3(3y - 11)
12y - 18 = 9y - 33
12y + 9y = - 33 + 18
21 y = -15
y = -15/21
y = -5/7
20. 5/6 * (24x - 48) = 4/5 * (10x + 40)
5(4x - 8) = 4(2x + 8)
20x -8 = 8x + 32
20x - 8x = 32 + 8
12 x = 32 - 8
x = 24/12
x = 2