Solving for r is the same as isolating it. Since we have (1-r) being multiplied by L, we want to divide it out so we can work with (1-r), so:
![(S)/(L)=1-r](https://img.qammunity.org/2019/formulas/mathematics/middle-school/k5ripzwlgg2emcummsunmkq8u712l95lve.png)
Now, we want to make -r positive, so we multiply both sides by negative 1:
![-(S)/(L)=r-1](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ad6tmqu5aug2rbnclxjzzzz30rnc2h0nm0.png)
Now, to isolate r we want to add 1 to both sides, so:
![1-(S)/(L)=r](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7vt2djgpuo8p6xapvsirsjb52k651e07oe.png)
and we're done.