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3.½ (p - 3) + ⅔ (3p + 6) = 15
½p - 3/2 + 2p + 4 = 15
½p + 4/2 p - 3/2 + 8/2 = 15
5/2 p + 5/2 = 15
5/2 p = 30/2 - 5/2
5/2 p = 25/2
5p = 25
p = 25/5
p = 5
6.
⅔ (2x + 3) = 6
4/3 x + 2 = 6
4/3 x = 6 - 2
4/3 x = 4
x = 4 : 4/3
x = 4 x ¾
x = 3
8.
(2y - 3)/2 + (5y + 4)/4 = 4
{ 4 (2y - 3) + 2 (5y + 4) } / 8 = 4
4 (2y - 3) + 2 (5y + 4) = 4 x 8
8y - 12 + 10y + 8 = 32
18y - 4 = 32
18y = 32 + 4
18y = 36
y = 36/18
y = 2
10.
(2x - 3)/2 = 4 + (5x + 6)/4
(2x - 3)/2 = 16/4 + (5x + 6)/4
(2x - 3)/2 = (16 + 5x + 6)/4
(2x - 3)/2 = (5x + 22)/4
4 (2x - 3) = 2 (5x + 22)
8x - 12 = 10x + 44
8x - 10x = 44 + 12
-2x = 56
x = 56/-2
x = -28