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-k-1/2(2-9k)=0-5k/2
We simplify the equation to the form, which is simple to understand
-k-1/2(2-9k)=0-5k/2
Reorder the terms in parentheses
-k+(-1+4.5k)=0-2.5k
Remove unnecessary parentheses
-k-1+4.5k=0-2.5k
We move all terms containing k to the left and all other terms to the right.
-1k+4.5k+2.5k=0+1
We simplify left and right side of the equation.
+6k=+1
We divide both sides of the equation by 6 to get k.
k=0.16666666666667
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