To simplify the expression \((6x^4 - 4x^3 + 3 - 2) : (3x - 2)\), we first simplify the polynomial:

\[
6x^4 - 4x^3 + 3 - 2 = 6x^4 - 4x^3 + 1
\]

Now, we rewrite the expression:

\[
(6x^4 - 4x^3 + 1) : (3x - 2)
\]

Next, we will perform polynomial long division to divide \(6x^4 - 4x^3 + 1\) by \(3x - 2\).

### Polynomial Long Division:

1. Divide the leading term of the dividend by the leading term of the divisor:
\[
\frac{6x^4}{3x} = 2x^3
\]

2. Multiply the entire divisor by \(2x^3\):
\[
2x^3(3x - 2) = 6x^4 - 4x^3
\]

3. Subtract this result from the original polynomial:
\[
(6x^4 - 4x^3 + 1) - (6x^4 - 4x^3) = 1
\]

4. Now, we have completed the long division, and our result is:
\[
2x^3 + \frac{1}{3x - 2}
\]

Thus, the final result of \( (6x^4 - 4x^3 + 1) : (3x - 2) \) is:

\[
2x^3 + \frac{1}{3x - 2}
\]