$$\left. \begin{array} { l } { \frac { 3 t - 2 } { 3 } + \frac { 2 t + 3 } { 2 } = t + \frac { 7 } { 6 } } \end{array} \right.$$
$t=\frac{1}{3}\approx 0.333333333$
$$2\left(3t-2\right)+3\left(2t+3\right)=6t+7$$
$$6t-4+3\left(2t+3\right)=6t+7$$
$$6t-4+6t+9=6t+7$$
$$12t-4+9=6t+7$$
$$12t+5=6t+7$$
$$12t+5-6t=7$$
$$6t+5=7$$
$$6t=7-5$$
$$6t=2$$
$$t=\frac{2}{6}$$
$$t=\frac{1}{3}$$
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