Question

Solve the following problem when -2 is outside an absolute value equation: -2|-2r-4|=-12

Answer 1

-2|-2r-4|=-12

divide by -2

|-2r-4| = 6

we get a positive and negative solution

-2r-4 = 6     and -2r - 4 = -6

-add 4 to each side

-2r = 10         -2r = -2

divide by -2

r = -5    and r = 1

Answer r = -5 ,1

Answer 2

Answer:

r = 1 and r = -5

Step-by-step explanation:

We are given the following problem with an absolute value equation:

$-2|-2r-4|=-12$

The only variable here is $r$ so we will make it the subject and solve for it.

$-2|-2r-4|=-12$

Isolating the absolute value by dividing the constant -12 by -2 to get:

$|-2r-4|=\frac{-12}{-2}$

Setting the quantity inside the absolute value notation equal to a positive and a negative value on the other side of the equation:

$-2r-4 = -6$ and $-2r-4 = 6$

$-2r= -6+4$ and $-2r= 6+4$

$-2r = -2$ and $-2r = 10$

$r = \frac{-2}{-2}$ and $-2r = \frac{10}{-2}$

$r=1$ and $r=-5$