30-4(20-2z)=12(z-6.5)

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Solution for 30-4(20-2z)=12(z-6.5) equation:



30-4(20-2z)=12(z-6.5)
We move all terms to the left:
30-4(20-2z)-(12(z-6.5))=0
We add all the numbers together, and all the variables
-4(-2z+20)-(12(z-6.5))+30=0
We multiply parentheses
8z-(12(z-6.5))-80+30=0
We calculate terms in parentheses: -(12(z-6.5)), so:
12(z-6.5)
We multiply parentheses
12z-78
Back to the equation:
-(12z-78)
We add all the numbers together, and all the variables
8z-(12z-78)-50=0
We get rid of parentheses
8z-12z+78-50=0
We add all the numbers together, and all the variables
-4z+28=0
We move all terms containing z to the left, all other terms to the right
-4z=-28
z=-28/-4
z=+7

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