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-\left(-5s\right)-\left(-5\right)+8\left(s-5\right)=0
To find the opposite of -5s-5, find the opposite of each term.
5s-\left(-5\right)+8\left(s-5\right)=0
The opposite of -5s is 5s.
5s+5+8\left(s-5\right)=0
The opposite of -5 is 5.
5s+5+8s-40=0
Use the distributive property to multiply 8 by s-5.
13s+5-40=0
Combine 5s and 8s to get 13s.
13s-35=0
Subtract 40 from 5 to get -35.
13s=35
Add 35 to both sides. Anything plus zero gives itself.
s=\frac{35}{13}
Divide both sides by 13.