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.005(7-k)+.01(k-8)=1
We move all terms to the left:
.005(7-k)+.01(k-8)-(1)=0
We add all the numbers together, and all the variables
.005(-1k+7)+.01(k-8)-1=0
We multiply parentheses
-0.005k+0.01k+0.035-0.08-1=0
We add all the numbers together, and all the variables
0.005k-1.045=0
We move all terms containing k to the left, all other terms to the right
0.005k=1.045
k=1.045/0.005
k=208+0.005/0.005
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