Given the formula for the n-th term of a sequence is Tn = 2 * 2n - 2, simplify the formula and find the first four terms.

First, perform the multiplication $2 \times 2n$.

$$T_n = 4n - 2$$

This is the general formula for the $n$-th term of the sequence.

To find the first term ($T_1$), substitute $n=1$:

$$T_1 = 4(1) - 2 = 4 - 2 = 2$$

To find the second term ($T_2$), substitute $n=2$:

$$T_2 = 4(2) - 2 = 8 - 2 = 6$$

To find the third term ($T_3$), substitute $n=3$:

$$T_3 = 4(3) - 2 = 12 - 2 = 10$$

To find the fourth term ($T_4$), substitute $n=4$:

$$T_4 = 4(4) - 2 = 16 - 2 = 14$$

The simplified formula for the $n$-th term is $\boxed{T_n = 4n - 2}$.
The first few terms of the sequence are $\boxed{2, 6, 10, 14, \dots}$.