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S=L-rL solve for r how do you solve this equation

User EmilDo
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These problems are called literal equations(just so you know)
S=L-rL
First, you subtract L from both sides:
S-L=-rL
The commutative property of multiplication states that you can change the order of 2 different numbers being multiplied together and still keep the equation/expression equivalent to the first. We can change r and L around like this:
S-L=-Lr
now we divide both sides by -L:

(S-L)/(-L) =r
We can still simplify this, though, by splitting up the fraction on the left:

(S)/(-L) - (L)/(-L) =r
which is equal to:

(S)/(-L) -(-1)=r
for the final step, the double negative becomes a positive:

(S)/(-L) +1=r
there is the final simplified answer for r
User Peeter Joot
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