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1-4(-5z-5)=2(5z+8)-7
We simplify the equation to the form, which is simple to understand
1-4(-5z-5)=2(5z+8)-7
Reorder the terms in parentheses
1+(+20z+20)=2*(5z+8)-7
Remove unnecessary parentheses
+1+20z+20=+2+*(+5z+8+)-7
Reorder the terms in parentheses
1+20z+20=+(+10z+16)-7
Remove unnecessary parentheses
+1+20z+20=+10z+16-7
We move all terms containing z to the left and all other terms to the right.
+20z-10z=+16-7-1-20
We simplify left and right side of the equation.
+10z=-12
We divide both sides of the equation by 10 to get z.
z=-1.2
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