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0.007(1-k)+0.08(k-7)=1
We move all terms to the left:
0.007(1-k)+0.08(k-7)-(1)=0
We add all the numbers together, and all the variables
0.007(-1k+1)+0.08(k-7)-1=0
We multiply parentheses
-0.007k+0.08k+0.007-0.56-1=0
We add all the numbers together, and all the variables
0.073k-1.553=0
We move all terms containing k to the left, all other terms to the right
0.073k=1.553
k=1.553/0.073
k=21+0.02/0.073
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