Answer:
1. r = -4
3. n=6
5. m = -5
7. x=0.66=

Explanation:
1.
-52=4(7+5r)
-52=28+20r
Subtract 20r from both sides
-20r-52=28
Add 52 to both sides
-20r=80
Divide both sides by -20
r = -4
3.
8(n-5)=-5n+38
8n-40=-5n+38
Add 5n to both sides
13n-40=38
Add 40 to both sides
13n=78
Divide both sides by 13
n=6
5.
-33+5m=2(1+6m)
-33+5m=2+12m
Subtract 12m from both sides
-33-7m=2
Add 33 to both sides
-7m=35
Divide both sides by -7
m=-5
7.
2(7x-2)=2(x+4)
14x-4=2x+4
Subtract 2x from both sides
12x-4=4
Add 4 to both sides
12x=8
Divide both sides by 12
x=0.66...