Answer
$k=\dfrac{6r-bt}{a}$
Work Step by Step
Using the properties of equality, in terms of $
k
,$ the given equation, $
ak+bt=6r
,$ is equivalent to
\begin{array}{l}\require{cancel}
ak=6r-bt
\\\\
k=\dfrac{6r-bt}{a}
.\end{array}
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