Power to the Matrix

Let $A = \begin{bmatrix} 3 & 1\\ 4 & 3 \end{bmatrix}$ Find $A^{10}v$, where $v = \begin{bmatrix} 3 \\ 2\end{bmatrix}$. The answer is in the form

$$\begin{bmatrix} a \cdot b^{p} + c \\ d \cdot b^{p} - g \end{bmatrix}$$

For integers $a,b,c,d,p$. Find $bp + a + c + d + g$.