Answer:
Step-by-step explanation:
1) 5r+8=2(5+3r)
5r+8=10+6r
-10+8=-5r+6r
-2 = r
2) -2(8x+6)+2=-40-x
-16x-12+2=-40-x
-16x-10=-40-x
-16x+x=-40+10
-15x=-30
x=[tex]\frac{-30}{-15}[/tex] = 2
3) -16+4x<2(1-x)
-16+4x < 2-2x
4x-2x< -16-2
-18 < -6x
x < 3
4) 4x-34 greater than or equal to -2(2x-7)
4x-34= -4x+14
4x=-4x+48
8x=48
x=6
5) -4|6-3v|=-36
[tex]\frac{-4|6-3v|}{-4}=\frac{-36}{-4}[/tex]
|6-3v|=9
6-3v=-9 or 6-3v=9
v=-1 or v=5
6) -6-10|2a+9|<-56
-10|2a+9|<-50
10|2a+9|>50
|2a+9|>5
2a+9<-5 or 2a+9>5
a< -7 or a> -2
