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4z/10-4=-7z=
We move all terms to the left:
4z/10-4-(-7z)=0
We get rid of parentheses
4z/10+7z-4=0
We multiply all the terms by the denominator
4z+7z*10-4*10=0
We add all the numbers together, and all the variables
4z+7z*10-40=0
Wy multiply elements
4z+70z-40=0
We add all the numbers together, and all the variables
74z-40=0
We move all terms containing z to the left, all other terms to the right
74z=40
z=40/74
z=20/37
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