solve the equation . `(3 t - 2)/(4 ) - (2 t + 3)/ (3) = 2/3 - t`

Explanation

To solve the equation \(\frac{3t - 2}{4} - \frac{2t + 3}{3} = \frac{2}{3} - t\), we will follow these steps:

### Step 1: Eliminate the denominators
To eliminate the denominators, we need to find the least common multiple (LCM) of the denominators 4 and 3, which is 12. We will multiply both sides of the equation by 12.

\[ 12 \left(\frac{3t - 2}{4}\right) - 12 \left(\frac{2t + 3}{3}\right) = 12 \left(\frac{2}{3}\right) - 12t \]
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