# Solve for v -2/5+1/3v=-3/4 -25+13v=-34
Combine 13 and v.
-25+v3=-34
Move all terms not containing v to the right side of the equation.
Add 25 to both sides of the equation.
v3=-34+25
To write -34 as a fraction with a common denominator, multiply by 55.
v3=-34⋅55+25
To write 25 as a fraction with a common denominator, multiply by 44.
v3=-34⋅55+25⋅44
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
Multiply 34 and 55.
v3=-3⋅54⋅5+25⋅44
Multiply 4 by 5.
v3=-3⋅520+25⋅44
Multiply 25 and 44.
v3=-3⋅520+2⋅45⋅4
Multiply 5 by 4.
v3=-3⋅520+2⋅420
v3=-3⋅520+2⋅420
Combine the numerators over the common denominator.
v3=-3⋅5+2⋅420
Simplify the numerator.
Multiply -3 by 5.
v3=-15+2⋅420
Multiply 2 by 4.
v3=-15+820
Add -15 and 8.
v3=-720
v3=-720
Move the negative in front of the fraction.
v3=-720
v3=-720
Multiply both sides of the equation by 3.
3⋅v3=3⋅(-720)
Simplify both sides of the equation.
Cancel the common factor of 3.
Cancel the common factor.
3⋅v3=3⋅(-720)
Rewrite the expression.
v=3⋅(-720)
v=3⋅(-720)
Simplify 3⋅(-720).
Multiply 3(-720).
Multiply -1 by 3.
v=-3(720)
Combine -3 and 720.
v=-3⋅720
Multiply -3 by 7.
v=-2120
v=-2120
Move the negative in front of the fraction.
v=-2120
v=-2120
v=-2120
The result can be shown in multiple forms.
Exact Form:
v=-2120
Decimal Form:
v=-1.05
Mixed Number Form:
v=-1120
Solve for v -2/5+1/3v=-3/4

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