Solve for u -1/7-1/3u=-1/2

Math
-17-13u=-12
Combine u and 13.
-17-u3=-12
Move all terms not containing u to the right side of the equation.
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Add 17 to both sides of the equation.
-u3=-12+17
To write -12 as a fraction with a common denominator, multiply by 77.
-u3=-12⋅77+17
To write 17 as a fraction with a common denominator, multiply by 22.
-u3=-12⋅77+17⋅22
Write each expression with a common denominator of 14, by multiplying each by an appropriate factor of 1.
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Multiply 12 and 77.
-u3=-72⋅7+17⋅22
Multiply 2 by 7.
-u3=-714+17⋅22
Multiply 17 and 22.
-u3=-714+27⋅2
Multiply 7 by 2.
-u3=-714+214
-u3=-714+214
Combine the numerators over the common denominator.
-u3=-7+214
Add -7 and 2.
-u3=-514
Move the negative in front of the fraction.
-u3=-514
-u3=-514
Multiply both sides of the equation by -3.
-3⋅(-u3)=-3⋅(-514)
Simplify both sides of the equation.
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Simplify -3⋅(-u3).
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Cancel the common factor of 3.
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Move the leading negative in -u3 into the numerator.
-3⋅-u3=-3⋅(-514)
Factor 3 out of -3.
3(-1)⋅-u3=-3⋅(-514)
Cancel the common factor.
3⋅-1⋅-u3=-3⋅(-514)
Rewrite the expression.
-1⋅(-u)=-3⋅(-514)
-1⋅(-u)=-3⋅(-514)
Multiply.
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Multiply -1 by -1.
1⋅u=-3⋅(-514)
Multiply u by 1.
u=-3⋅(-514)
u=-3⋅(-514)
u=-3⋅(-514)
Multiply -3(-514).
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Multiply -1 by -3.
u=3(514)
Combine 3 and 514.
u=3⋅514
Multiply 3 by 5.
u=1514
u=1514
u=1514
The result can be shown in multiple forms.
Exact Form:
u=1514
Decimal Form:
u=1.07142857…
Mixed Number Form:
u=1114
Solve for u -1/7-1/3u=-1/2

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