# Solve for v -7/(v+7)=-8 -7v+7=-8
Multiply each term by v+7 and simplify.
Multiply each term in -7v+7=-8 by v+7.
(-7v+7)⋅(v+7)=-8⋅(v+7)
Cancel the common factor of v+7.
Move the leading negative in -7v+7 into the numerator.
-7v+7⋅(v+7)=-8⋅(v+7)
Cancel the common factor.
-7v+7⋅(v+7)=-8⋅(v+7)
Rewrite the expression.
-7=-8⋅(v+7)
-7=-8⋅(v+7)
Simplify -8⋅(v+7).
Apply the distributive property.
-7=-8v-8⋅7
Multiply -8 by 7.
-7=-8v-56
-7=-8v-56
-7=-8v-56
Rewrite the equation as -8v-56=-7.
-8v-56=-7
Move all terms not containing v to the right side of the equation.
Add 56 to both sides of the equation.
-8v=-7+56
Add -7 and 56.
-8v=49
-8v=49
Divide each term by -8 and simplify.
Divide each term in -8v=49 by -8.
-8v-8=49-8
Cancel the common factor of -8.
Cancel the common factor.
-8v-8=49-8
Divide v by 1.
v=49-8
v=49-8
Move the negative in front of the fraction.
v=-498
v=-498
The result can be shown in multiple forms.
Exact Form:
v=-498
Decimal Form:
v=-6.125
Mixed Number Form:
v=-618
Solve for v -7/(v+7)=-8

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