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0.009(5-k)+0.08(k-8)=1
We move all terms to the left:
0.009(5-k)+0.08(k-8)-(1)=0
We add all the numbers together, and all the variables
0.009(-1k+5)+0.08(k-8)-1=0
We multiply parentheses
-0.009k+0.08k+0.045-0.64-1=0
We add all the numbers together, and all the variables
0.071k-1.595=0
We move all terms containing k to the left, all other terms to the right
0.071k=1.595
k=1.595/0.071
k=22+0.033/0.071
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