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6-7(z+1)=-3(2-z)
We move all terms to the left:
6-7(z+1)-(-3(2-z))=0
We add all the numbers together, and all the variables
-7(z+1)-(-3(-1z+2))+6=0
We multiply parentheses
-7z-(-3(-1z+2))-7+6=0
We calculate terms in parentheses: -(-3(-1z+2)), so:We add all the numbers together, and all the variables
-3(-1z+2)
We multiply parentheses
3z-6
Back to the equation:
-(3z-6)
-7z-(3z-6)-1=0
We get rid of parentheses
-7z-3z+6-1=0
We add all the numbers together, and all the variables
-10z+5=0
We move all terms containing z to the left, all other terms to the right
-10z=-5
z=-5/-10
z=1/2
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