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Verified answer
1)2(3p - 4) = 4p + 6
6p - 8 = 4p + 6
6p - 4p = 6 + 8
2p = 14
p = 14/2
p = 7
2)
4/25k = 36
25k = 4/36
k = 4/36 : 25
k = 4/36 × 1/25
k = 4/900
k = 1/225
3)
8y - 14 = 5y - 2
8y - 5y = -2 + 14
3y = 12
y = 12/3
y = 4
4)
1/3u = 14
3u = 1/14
u = 1/14 : 3
u = 1/14 × 1/3
u = 1/42
5)
4k + 5 = 3k + 9
4k - 3 k = 9 - 5
k = 4
6)
3p - 1/4 = 2p + 1/2
3p - 2p = 1/2 + 1/4
p = 2/4 + 1/4
p = 3/4
7)
2/8y = 18
8y = 2/18
y = 2/18 : 8
y = 2/18 × 1/8
y = 2/144
y = 1/72
8)
1/2k + 3 = 1/3k - 1
1/2k - 1/3k = -1 - 3
3/6k - 2/6k = -4
1/6k = -4
6k = -1/4
k = -1/4 : 6
k = -1/4 × 1/6
k = -1/24
9)
2/3y - 15 = 3
2/3y = 3 + 15
2/3y = 18
3y = 2/18
y = 2/18 : 3
y = 2/18 × 1/3
y = 2/54
y = 1/27
10)
3m - 3/2 = 2
3m = 2 + 3/2
3m = 4/2 + 3/2
3m = 7/2
m = 7/2 : 3
m = 7/2 × 1/3
m = 7/6