Determinants & Inverses · Hard problem

Let $A$ be a $3\times3$ matrix with rows $\mathbf r_1, \mathbf r_2, \mathbf r_3$ and $\det A = 5$. Find the determinant of the matrix whose rows are, in order, $2\mathbf r_1 - \mathbf r_2$, $3\mathbf r_3$, $\mathbf r_2$.