Could anyone please help me solve these equations?

5r+8=2(5+3r)

-2(8x+6)+2=-40-x

-16+4x<2(1-x)

4x-34 greater than or equal to -2(2x-7)

-4|6-3v|=-36

-6-10|2a+9|<-56

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= = 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

|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

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: