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0.003(1-k)+0.08(k-7)=1
We move all terms to the left:
0.003(1-k)+0.08(k-7)-(1)=0
We add all the numbers together, and all the variables
0.003(-1k+1)+0.08(k-7)-1=0
We multiply parentheses
-0.003k+0.08k+0.003-0.56-1=0
We add all the numbers together, and all the variables
0.077k-1.557=0
We move all terms containing k to the left, all other terms to the right
0.077k=1.557
k=1.557/0.077
k=20+0.017/0.077
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