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0.002(5-k) + 0.04(k-1)=1
We simplify the equation to the form, which is simple to understand
0.002(5-k) + 0.04(k-1)=1
Reorder the terms in parentheses
+( + 0.01-0.002k) + 0.04*(k-1)=1
Remove unnecessary parentheses
+ 0.01-0.002k + 0.04+*(+k-1+)=+1
Reorder the terms in parentheses
+ 0.01-0.002k+( + 0.04k-0.04)=1
Remove unnecessary parentheses
+ 0.01-0.002k + 0.04k-0.04=+1
We move all terms containing k to the left and all other terms to the right.
-0.002k + 0.04k=+1-0.01 + 0.04
We simplify left and right side of the equation.
+ 0.038k=+1.03
We divide both sides of the equation by 0.038 to get k.
k=27.105263157895
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