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0.3(3z+6)+31.4=0.7(3z-4)
We move all terms to the left:
0.3(3z+6)+31.4-(0.7(3z-4))=0
We multiply parentheses
0.9z-(0.7(3z-4))+1.8+31.4=0
We calculate terms in parentheses: -(0.7(3z-4)), so:We add all the numbers together, and all the variables
0.7(3z-4)
We multiply parentheses
2.1z-2.8
Back to the equation:
-(2.1z-2.8)
0.9z-(2.1z-2.8)+33.2=0
We get rid of parentheses
0.9z-2.1z+2.8+33.2=0
We add all the numbers together, and all the variables
-1.2z+36=0
We move all terms containing z to the left, all other terms to the right
-1.2z=-36
z=-36/-1.2
z=+30
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