Simplify the following.
$$\frac{3a + b}{2} - \frac{a - 3b}{3} + 2b$$

A

$$\frac{5(a+3b)}{6}$$

B

$$\frac{7a + 3b}{6}$$

C

$$\frac{7(a + 3b)}{6}$$

D

$$\frac{a + 3b}{6}$$