$$3++2-\frac{2t+3}{3}=\frac{8}{3}$$
$t=2$
$$9+6-\left(2t+3\right)=8$$
$$15-\left(2t+3\right)=8$$
$$15-2t-3=8$$
$$12-2t=8$$
$$-2t=8-12$$
$$-2t=-4$$
$$t=\frac{-4}{-2}$$
$$t=2$$
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