# Solve for v -7/3-1/2v=-7/5

-73-12v=-75
Combine v and 12.
-73-v2=-75
Move all terms not containing v to the right side of the equation.
Add 73 to both sides of the equation.
-v2=-75+73
To write -75 as a fraction with a common denominator, multiply by 33.
-v2=-75⋅33+73
To write 73 as a fraction with a common denominator, multiply by 55.
-v2=-75⋅33+73⋅55
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
Multiply 75 and 33.
-v2=-7⋅35⋅3+73⋅55
Multiply 5 by 3.
-v2=-7⋅315+73⋅55
Multiply 73 and 55.
-v2=-7⋅315+7⋅53⋅5
Multiply 3 by 5.
-v2=-7⋅315+7⋅515
-v2=-7⋅315+7⋅515
Combine the numerators over the common denominator.
-v2=-7⋅3+7⋅515
Simplify the numerator.
Multiply -7 by 3.
-v2=-21+7⋅515
Multiply 7 by 5.
-v2=-21+3515
-v2=1415
-v2=1415
-v2=1415
Multiply both sides of the equation by -2.
-2⋅(-v2)=-2⋅1415
Simplify both sides of the equation.
Simplify -2⋅(-v2).
Cancel the common factor of 2.
Move the leading negative in -v2 into the numerator.
-2⋅-v2=-2⋅1415
Factor 2 out of -2.
2(-1)⋅-v2=-2⋅1415
Cancel the common factor.
2⋅-1⋅-v2=-2⋅1415
Rewrite the expression.
-1⋅(-v)=-2⋅1415
-1⋅(-v)=-2⋅1415
Multiply.
Multiply -1 by -1.
1⋅v=-2⋅1415
Multiply v by 1.
v=-2⋅1415
v=-2⋅1415
v=-2⋅1415
Simplify -2⋅1415.
Multiply -2(1415).
Combine -2 and 1415.
v=-2⋅1415
Multiply -2 by 14.
v=-2815
v=-2815
Move the negative in front of the fraction.
v=-2815
v=-2815
v=-2815
The result can be shown in multiple forms.
Exact Form:
v=-2815
Decimal Form:
v=-1.86‾
Mixed Number Form:
v=-11315
Solve for v -7/3-1/2v=-7/5

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