How do you solve #-\frac { - 8} { r + 6} = \frac { 1} { 4}#?

1 Answer
Dec 19, 2016

#r=26#

Explanation:

To solve for r, we need to rearrange the equation in such a way that #r# is isolated on one of the sides we can do that by doing the inverse of operations to both sides of the equation.

#-(-8)/(r+6) = 1/4#

#(-1)/1*((-8)/(r+6)) = 1/4#, whether it's #(-1)/1# or #1/-1# doesn't matter.

#8/(r+6) = 1/4#

#8=(1/4) * (r+6)#

#8/(1/4) = r+6#

#8*4 = r+6#

#32 = r+6#

#32 -6 = r#

#r=26#