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6=(7)/(w-7)
We move all terms to the left:
6-((7)/(w-7))=0
Domain of the equation: (w-7))!=0We multiply all the terms by the denominator
w∈R
-(7+6*(w-7))=0
We calculate terms in parentheses: -(7+6*(w-7)), so:We get rid of parentheses
7+6*(w-7)
determiningTheFunctionDomain 6*(w-7)+7
We multiply parentheses
6w-42+7
We add all the numbers together, and all the variables
6w-35
Back to the equation:
-(6w-35)
-6w+35=0
We move all terms containing w to the left, all other terms to the right
-6w=-35
w=-35/-6
w=5+5/6
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