-0.8(z+7)=-0.3(z-1.5)

Solution for -0.8(z+7)=-0.3(z-1.5) equation:

-0.8(z+7)=-0.3(z-1.5)

We simplify the equation to the form, which is simple to understand 
-0.8(z+7)=-0.3(z-1.5)

Reorder the terms in parentheses
+(-0.8z-5.6)=-0.3*(z-1.5)

Remove unnecessary parentheses
-0.8z-5.6=-0.3+*(+z-1.5+)

Reorder the terms in parentheses
-0.8z-5.6=+(-0.3z + 0.45)

Remove unnecessary parentheses
-0.8z-5.6=-0.3z + 0.45

We move all terms containing z to the left and all other terms to the right. 
-0.8z + 0.3z=0.45+5.6

We simplify left and right side of the equation. 
-0.5z=+6.05

We divide both sides of the equation by -0.5 to get z. 
z=-12.1