Answer
$t=9$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
\dfrac{2}{3}t+7=13
$, is
\begin{array}{l}\require{cancel}
\dfrac{2}{3}t=13-7
\\\\
\dfrac{2}{3}t=6
\\\\
2t=3(6)
\\\\
t=\dfrac{3(6)}{2}
\\\\
t=\dfrac{3(\cancel{2}\cdot3)}{\cancel{2}}
\\\\
t=9
.\end{array}