# Solve for u -1/3u-1/2=-6/7 -13u-12=-67
Combine u and 13.
-u3-12=-67
Move all terms not containing u to the right side of the equation.
Add 12 to both sides of the equation.
-u3=-67+12
To write -67 as a fraction with a common denominator, multiply by 22.
-u3=-67⋅22+12
To write 12 as a fraction with a common denominator, multiply by 77.
-u3=-67⋅22+12⋅77
Write each expression with a common denominator of 14, by multiplying each by an appropriate factor of 1.
Multiply 67 and 22.
-u3=-6⋅27⋅2+12⋅77
Multiply 7 by 2.
-u3=-6⋅214+12⋅77
Multiply 12 and 77.
-u3=-6⋅214+72⋅7
Multiply 2 by 7.
-u3=-6⋅214+714
-u3=-6⋅214+714
Combine the numerators over the common denominator.
-u3=-6⋅2+714
Simplify the numerator.
Multiply -6 by 2.
-u3=-12+714
Add -12 and 7.
-u3=-514
-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.
Simplify -3⋅(-u3).
Cancel the common factor of 3.
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.
Multiply -1 by -1.
1⋅u=-3⋅(-514)
Multiply u by 1.
u=-3⋅(-514)
u=-3⋅(-514)
u=-3⋅(-514)
Multiply -3(-514).
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 -1/3u-1/2=-6/7

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