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100=225[1-k/100)
We simplify the equation to the form, which is simple to understand
100=225(1-k/100)
Simplifying:
100=225*(1-0.01k)
Reorder the terms in parentheses
100=+(+225-2.25k)
Remove unnecessary parentheses
+100=+225-2.25k
We move all terms containing k to the left and all other terms to the right.
+2.25k=+225-100
We simplify left and right side of the equation.
+2.25k=+125
We divide both sides of the equation by 02.25 to get k.
k=55.5555555556
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