Step-by-step explanation:
1. 1/6d - 8 = 5/8
1/6d -8 + 8 = 5/8 + 8
1/6d = 69/8
1/6d / 1/6 = 69/8 / 1/6
d = 51.75 or [tex]51\frac{3}{4}[/tex]
2. 3x - 4 + 5x = 10 - 2z
8x - 4 = 10 - 2z
8x - 4 + 4 = 10 - 2z + 4
8x = 14 - 2z
8x / 8 = (14 - 2z) / 8
x = [tex]\frac{14 - 2z}{8}[/tex]
3. 7(c - 3) = 14
7(c - 3) / 7 = 14 / 7
c - 3 = 2
c - 3 + 3 = 2 + 3
c = 5
4. 11(m / 22 + 3 / 44) = 87
m / 22 + 3 / 44 = 87 / 11
m / 22 + 3 / 44 = 348 / 44
m / 22 = 345 / 44
m = 172.5
5. ck + 5k = a
k(c + 5) = a
k = [tex]\frac{a}{c+5}[/tex]
