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8(z-5)=7(-2z+10)
We move all terms to the left:
8(z-5)-(7(-2z+10))=0
We multiply parentheses
8z-(7(-2z+10))-40=0
We calculate terms in parentheses: -(7(-2z+10)), so:We get rid of parentheses
7(-2z+10)
We multiply parentheses
-14z+70
Back to the equation:
-(-14z+70)
8z+14z-70-40=0
We add all the numbers together, and all the variables
22z-110=0
We move all terms containing z to the left, all other terms to the right
22z=110
z=110/22
z=5
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