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(k+3)/2=(k-2)/3
We simplify the equation to the form, which is simple to understand
(k+3)/2=(k-2)/3
Reorder the terms in parentheses
( + 0.5k+1.5)=(k-2)/3
Remove unnecessary parentheses
+ 0.5k+1.5=(k-2)/3
Reorder the terms in parentheses
+ 0.5k+1.5=( + 0.333333333333k-0.666666666667)
Remove unnecessary parentheses
+ 0.5k+1.5=0.333333333333k-0.666666666667
We move all terms containing k to the left and all other terms to the right.
+ 0.5k-0.333333333333k=-0.666666666667-1.5
We simplify left and right side of the equation.
+ 0.166666666667k=-2.16666666667
We divide both sides of the equation by 0.166666666667 to get k.
k=-13
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