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5(8z-1)-7(4z+1)+8(7-4z)=19
We simplify the equation to the form, which is simple to understand
5(8z-1)-7(4z+1)+8(7-4z)=19
Reorder the terms in parentheses
+(+40z-5)-7*(4z+1)+8*(7-4z)=19
Remove unnecessary parentheses
+40z-5-7+*(+4z+1+)+8+*(+7-4z+)=+19
Reorder the terms in parentheses
+40z-5+(-28z-7)+8*(7-4z)=19
Remove unnecessary parentheses
+40z-5-28z-7+8+*(+7-4z+)=+19
Reorder the terms in parentheses
+40z-5-28z-7+(+56-32z)=19
Remove unnecessary parentheses
+40z-5-28z-7+56-32z=+19
We move all terms containing z to the left and all other terms to the right.
+40z-28z-32z=+19+5+7-56
We simplify left and right side of the equation.
-20z=-25
We divide both sides of the equation by -20 to get z.
z=1.25
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