31(1-r)=19(1+r)

Solution for 31(1-r)=19(1+r) equation:

31(1-r)=19(1+r)

We move all terms to the left:

31(1-r)-(19(1+r))=0

We add all the numbers together, and all the variables

31(-1r+1)-(19(r+1))=0

We multiply parentheses

-31r-(19(r+1))+31=0


We calculate terms in parentheses: -(19(r+1)), so:

19(r+1)

We multiply parentheses

19r+19

Back to the equation:

-(19r+19)


We get rid of parentheses

-31r-19r-19+31=0

We add all the numbers together, and all the variables

-50r+12=0

We move all terms containing r to the left, all other terms to the right

-50r=-12

r=-12/-50

r=6/25