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6-(-1+7z)=3(-z-3)
We move all terms to the left:
6-(-1+7z)-(3(-z-3))=0
We add all the numbers together, and all the variables
-(7z-1)-(3(-1z-3))+6=0
We get rid of parentheses
-7z-(3(-1z-3))+1+6=0
We calculate terms in parentheses: -(3(-1z-3)), so:We add all the numbers together, and all the variables
3(-1z-3)
We multiply parentheses
-3z-9
Back to the equation:
-(-3z-9)
-7z-(-3z-9)+7=0
We get rid of parentheses
-7z+3z+9+7=0
We add all the numbers together, and all the variables
-4z+16=0
We move all terms containing z to the left, all other terms to the right
-4z=-16
z=-16/-4
z=+4
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