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5s+6=7s-9
We move all terms to the left:
5s+6-(7s-9)=0
We get rid of parentheses
5s-7s+9+6=0
We add all the numbers together, and all the variables
-2s+15=0
We move all terms containing s to the left, all other terms to the right
-2s=-15
s=-15/-2
s=7+1/2
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