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0.004(7-k) + 0.09(k-7)=1
We simplify the equation to the form, which is simple to understand
0.004(7-k) + 0.09(k-7)=1
Reorder the terms in parentheses
+( + 0.028-0.004k) + 0.09*(k-7)=1
Remove unnecessary parentheses
+ 0.028-0.004k + 0.09+*(+k-7+)=+1
Reorder the terms in parentheses
+ 0.028-0.004k+( + 0.09k-0.63)=1
Remove unnecessary parentheses
+ 0.028-0.004k + 0.09k-0.63=+1
We move all terms containing k to the left and all other terms to the right.
-0.004k + 0.09k=+1-0.028 + 0.63
We simplify left and right side of the equation.
+ 0.086k=+1.602
We divide both sides of the equation by 0.086 to get k.
k=18.627906976744
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