Find the equation of the plane through the point $(2,4,3)$ that is perpendicular to the line $\mathbf{r} = (2\mathbf{i} + 2\mathbf{j} + 2\mathbf{k}) + t(\mathbf{i} + 5\mathbf{j} - 2\mathbf{k})$. Write the equation in the form indicated.

Equation: $3 x +$ $y +$ $z =$