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0.009(1-k)+0.08(k-9)=1
We move all terms to the left:
0.009(1-k)+0.08(k-9)-(1)=0
We add all the numbers together, and all the variables
0.009(-1k+1)+0.08(k-9)-1=0
We multiply parentheses
-0.009k+0.08k+0.009-0.72-1=0
We add all the numbers together, and all the variables
0.071k-1.711=0
We move all terms containing k to the left, all other terms to the right
0.071k=1.711
k=1.711/0.071
k=24+0.0070000000000003/0.071
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