Answer: r=-31
Explanation:
To find r, we want to use algebraic properties to isolate r.
6(r-4)-5(r-1)=2(r+6) [distribute]
6r-24-5r+5=2r+12 [combine like terms]
r-19=2r+12 [subtract both sides by 2r]
-r-19=12 [add both sides by 19]
-r=31 [divide both sides by -1]
r=-31
Now, we know that r=-31.