1)
[tex]4(x - 7) + 2x = 8 \\ \\ 4x - 28 + 2x = 8 \\ \\ 4x + 2x = 8 + 28 \\ \\ 6x = 36 \\ \\ x = 6[/tex]
2)
[tex] - (4 - z) = 10 + 2z \\ \\ - 4 + z = 10 + 2z \\ \\ 2z - z = - 4 - 10 \\ \\ z = - 14[/tex]
3)
[tex](5a - 7) + 3a = 9 \\ \\ 5a - 7 + 3a = 9 \\ \\ 5a + 3a = 9 + 7 \\ \\ 8a = 16 \\ \\ a = 2[/tex]
4)
[tex]3y + 2(y - 8) = 4 \\ \\ 3y + 2y - 16 = 4 \\ \\ 3y + 2y = 4 + 16 \\ \\ 5y = 20 \\ \\ y = 4[/tex]
5)
[tex] - 6(3 - c) + 2c = 9 - c \\ \\ - 18 + 6c + 2c = 9 - c \\ \\ 6c + 2c + c = 9 + 18 \\ \\ 9c = 27 \\ \\ c = 3[/tex]
6)
[tex]7(d - 2) - 6 = 2d + 5 \\ \\ 7d - 14 - 6 = 2d + 5 \\ \\ 7d - 2d = 5 + 14 + 6 \\ \\ 5d = 25 \\ \\ d = 5[/tex]
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Answers & Comments
1)
[tex]4(x - 7) + 2x = 8 \\ \\ 4x - 28 + 2x = 8 \\ \\ 4x + 2x = 8 + 28 \\ \\ 6x = 36 \\ \\ x = 6[/tex]
2)
[tex] - (4 - z) = 10 + 2z \\ \\ - 4 + z = 10 + 2z \\ \\ 2z - z = - 4 - 10 \\ \\ z = - 14[/tex]
3)
[tex](5a - 7) + 3a = 9 \\ \\ 5a - 7 + 3a = 9 \\ \\ 5a + 3a = 9 + 7 \\ \\ 8a = 16 \\ \\ a = 2[/tex]
4)
[tex]3y + 2(y - 8) = 4 \\ \\ 3y + 2y - 16 = 4 \\ \\ 3y + 2y = 4 + 16 \\ \\ 5y = 20 \\ \\ y = 4[/tex]
5)
[tex] - 6(3 - c) + 2c = 9 - c \\ \\ - 18 + 6c + 2c = 9 - c \\ \\ 6c + 2c + c = 9 + 18 \\ \\ 9c = 27 \\ \\ c = 3[/tex]
6)
[tex]7(d - 2) - 6 = 2d + 5 \\ \\ 7d - 14 - 6 = 2d + 5 \\ \\ 7d - 2d = 5 + 14 + 6 \\ \\ 5d = 25 \\ \\ d = 5[/tex]
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