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0.004(1-k) + 0.06(k-4)=1
We simplify the equation to the form, which is simple to understand
0.004(1-k) + 0.06(k-4)=1
Reorder the terms in parentheses
+( + 0.004-0.004k) + 0.06*(k-4)=1
Remove unnecessary parentheses
+ 0.004-0.004k + 0.06+*(+k-4+)=+1
Reorder the terms in parentheses
+ 0.004-0.004k+( + 0.06k-0.24)=1
Remove unnecessary parentheses
+ 0.004-0.004k + 0.06k-0.24=+1
We move all terms containing k to the left and all other terms to the right.
-0.004k + 0.06k=+1-0.004 + 0.24
We simplify left and right side of the equation.
+ 0.056k=+1.236
We divide both sides of the equation by 0.056 to get k.
k=22.071428571429
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