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0.004(5-k)+0.03(k-7)=1
We move all terms to the left:
0.004(5-k)+0.03(k-7)-(1)=0
We add all the numbers together, and all the variables
0.004(-1k+5)+0.03(k-7)-1=0
We multiply parentheses
-0.004k+0.03k+0.02-0.21-1=0
We add all the numbers together, and all the variables
0.026k-1.19=0
We move all terms containing k to the left, all other terms to the right
0.026k=1.19
k=1.19/0.026
k=45+0.02/0.026
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