Markov Chains & Long-Run Behavior · Medium problem

A two-state chain has transition matrix $M = \begin{pmatrix} 1 - p & 0.3 \\ p & 0.7 \end{pmatrix}$, where $M_{ij}$ is the probability of moving to state $i$ from state $j$. For what value of $p$ is the steady-state probability of state 1 equal to $0.6$? Express your answer as a common fraction.