# Solve for v 5(6-4v)=v+21

5(6-4v)=v+21
Simplify 5(6-4v).
Apply the distributive property.
5⋅6+5(-4v)=v+21
Multiply.
Multiply 5 by 6.
30+5(-4v)=v+21
Multiply -4 by 5.
30-20v=v+21
30-20v=v+21
30-20v=v+21
Move all terms containing v to the left side of the equation.
Subtract v from both sides of the equation.
30-20v-v=21
Subtract v from -20v.
30-21v=21
30-21v=21
Move all terms not containing v to the right side of the equation.
Subtract 30 from both sides of the equation.
-21v=21-30
Subtract 30 from 21.
-21v=-9
-21v=-9
Divide each term by -21 and simplify.
Divide each term in -21v=-9 by -21.
-21v-21=-9-21
Cancel the common factor of -21.
Cancel the common factor.
-21v-21=-9-21
Divide v by 1.
v=-9-21
v=-9-21
Cancel the common factor of -9 and -21.
Factor -3 out of -9.
v=-3(3)-21
Cancel the common factors.
Factor -3 out of -21.
v=-3⋅3-3⋅7
Cancel the common factor.
v=-3⋅3-3⋅7
Rewrite the expression.
v=37
v=37
v=37
v=37
The result can be shown in multiple forms.
Exact Form:
v=37
Decimal Form:
v=0.428571‾
Solve for v 5(6-4v)=v+21

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