My question is: how can I add constraints to Manipulate? This my Code:

 Manipulate[  Show[   ListPlot[data, PlotStyle -> Red],   Plot[func[x, Ax, Az, Bx, Bz, Cx, Cz, Dx, Dz], {x, -10, 10}, PlotStyle -> Darker[Gray]],   PlotRange -> All],  {{Ax, 0.12}, -1, 1, Appearance -> "Open"},  {{Az, -0.043}, -1, 1, Appearance -> "Open"},  {{Bx, -0.102}, -1, 1, Appearance -> "Open"},  {{Bz, -0.031}, -1, 1, Appearance -> "Open"},  {{Cx, 0.032}, -1, 1, Appearance -> "Open"},  {{Cz, -0.026}, -1, 1, Appearance -> "Open"},  {{Dx, 0.95}, -1, 1, Appearance -> "Open"},  {{Dz, 0.1}, -1, 1, Appearance -> "Open"}] 

I need to add two constraints to Manipulate: (Ax+Bx+Cx+Dx ==1) and (Az+Bz+Cz+Dz==0). How can add these two constraints to Manipulate? Thanks for your help.