Answer :

1> 5r - 5 = 55
     5r = 55 + 5
       r = 60 / 5
       r = 12

2> 9m - 16 = 65
     9m = 65 + 16
       m = 81 / 9
       m = 9

3> 6p - 8 = 22
     6p = 22 + 8
       p = 30 / 6
       p = 5

4>(z/11) - 2 = 7
    z/11 = 7 + 2
    z = 9 * 11
    z = 99

5> 9r - 4 = 50
     9r = 50 + 4
       r = 54/9
       r = 6

6> 4z - 21 = 11
     4z = 11 + 21
       z = 32 / 4
       z = 8

7> (d/10) + 12 = 29
     d / 10 = 29 - 12
     d = 17 * 10
     d = 170

8> 2s - 8 = 22
     2s = 22 + 8
     s = 30 / 2
     s = 15
always do thesame to both sides
with one placeholder, try to get the placeholder by itself on one side
one tactic is to isolate the placeholder


1)

5r-5=55
factor
5(r-1)=5(11)
divide both sides by 5
r-1=11
add 1 to both sides
r=12



2)

9m-16=65
add 16 to both sides
9m=81
divide both sides by 9
m=9


3)

6p-8=22
add 8 to both sides
6p=30
divide both sides by 6
p=5


4)

z/11-2=7
get rid of fraction
multiply both sides by 11
1(z/11-2)=77
z-22=77
add 22 to both sides
z=99


5)

9r-4=50
add 4 to both sides
9r=54
divde both sides by 9
r=6


6)

4z-21=11
add 21 to both sides
4z=32
divide both sides by 4
z=8


7)

d/10+12=29
get rid of fraction
multiply both sides by 10
10(d/10+12)=290
d+120=290
subtract 120 from both sides
d=170

8)
2s-8=22
add 8 to both sides
2s=30
divide both sides by 2
s=15

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