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7(5-6z)=11(5-4z)
We move all terms to the left:
7(5-6z)-(11(5-4z))=0
We add all the numbers together, and all the variables
7(-6z+5)-(11(-4z+5))=0
We multiply parentheses
-42z-(11(-4z+5))+35=0
We calculate terms in parentheses: -(11(-4z+5)), so:We get rid of parentheses
11(-4z+5)
We multiply parentheses
-44z+55
Back to the equation:
-(-44z+55)
-42z+44z-55+35=0
We add all the numbers together, and all the variables
2z-20=0
We move all terms containing z to the left, all other terms to the right
2z=20
z=20/2
z=10
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