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100(z-0.2)=-10(5z+0.8)
We move all terms to the left:
100(z-0.2)-(-10(5z+0.8))=0
We multiply parentheses
100z-(-10(5z+0.8))-20=0
We calculate terms in parentheses: -(-10(5z+0.8)), so:We get rid of parentheses
-10(5z+0.8)
We multiply parentheses
-50z-8
Back to the equation:
-(-50z-8)
100z+50z+8-20=0
We add all the numbers together, and all the variables
150z-12=0
We move all terms containing z to the left, all other terms to the right
150z=12
z=12/150
z=2/25
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