Answer:
r = 1 and r = -5
Step-by-step explanation:
We are given the following problem with an absolute value equation:
[tex]-2|-2r-4|=-12[/tex]
The only variable here is [tex]r[/tex] so we will make it the subject and solve for it.
[tex]-2|-2r-4|=-12[/tex]
Isolating the absolute value by dividing the constant -12 by -2 to get:
[tex]|-2r-4|=\frac{-12}{-2}[/tex]
Setting the quantity inside the absolute value notation equal to a positive and a negative value on the other side of the equation:
[tex]-2r-4 = -6[/tex] and [tex]-2r-4 = 6[/tex]
[tex]-2r= -6+4[/tex] and [tex]-2r= 6+4[/tex]
[tex]-2r = -2[/tex] and [tex]-2r = 10[/tex]
[tex]r = \frac{-2}{-2}[/tex] and [tex]-2r = \frac{10}{-2}[/tex]
[tex]r=1[/tex] and [tex]r=-5[/tex]
