Firstly, let us write the equation
[tex]-15.5+6.5z=-3.25(4z+9.5)[/tex]Let us apply the distribution on the right side:
[tex]-15.5+6.5z=-3.25*4z-3.25*9.5[/tex]Calculating the values:
[tex]-15.5+6.5z=-13z-30.875[/tex]Putting all the z's on the same side:
[tex]6.5z+13z=15.5-30.875[/tex]