7/16=2(3z+1)/9

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Solution for 7/16=2(3z+1)/9 equation:



7/16=2(3z+1)/9
We move all terms to the left:
7/16-(2(3z+1)/9)=0
We calculate fractions
(-(2(3z+1)*16)/()+()/()=0
We calculate terms in parentheses: +(-(2(3z+1)*16)/()+()/(), so:
-(2(3z+1)*16)/()+()/(
We add all the numbers together, and all the variables
-(2(3z+1)*16)/()+1
We multiply all the terms by the denominator
-(2(3z+1)*16)+1*()
We calculate terms in parentheses: -(2(3z+1)*16), so:
2(3z+1)*16
We multiply parentheses
96z+32
Back to the equation:
-(96z+32)
We add all the numbers together, and all the variables
-(96z+32)
We get rid of parentheses
-96z-32
Back to the equation:
+(-96z-32)
We get rid of parentheses
-96z-32=0
We move all terms containing z to the left, all other terms to the right
-96z=32
z=32/-96
z=-1/3

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