$$\frac{ 3T-2 }{ 4 } - \frac{ 2T+3 }{ 3 } = \frac{ 2T }{ 3 } -1$$
$T=-\frac{6}{7}\approx -0.857142857$
$$3\left(3T-2\right)-4\left(2T+3\right)=4\times 2T-12$$
$$9T-6-4\left(2T+3\right)=4\times 2T-12$$
$$9T-6-8T-12=4\times 2T-12$$
$$T-6-12=4\times 2T-12$$
$$T-18=4\times 2T-12$$
$$T-18=8T-12$$
$$T-18-8T=-12$$
$$-7T-18=-12$$
$$-7T=-12+18$$
$$-7T=6$$
$$T=\frac{6}{-7}$$
$$T=-\frac{6}{7}$$
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