Respuesta :

Answer:

r= -5 , r= 17

Step-by-step explanation:

5|-6+r|=55

solve for 'r'

First we isolate absolute function

We divide both sides by 5

|-6+r| = 11

for absolute function we consider two cases, one with positive and one with negative. Now we make two equations

-6+r = 11   or -6+r = -11

Now solve both equations

-6 + r= 11

Add 6 on both sides

so , r= 17

-6 + r= -11

add 6 on both sides , so r= -5