Solve for w 2/(w+1)=-7

Math
2w+1=-7
Multiply each term by w+1 and simplify.
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Multiply each term in 2w+1=-7 by w+1.
2w+1⋅(w+1)=-7⋅(w+1)
Cancel the common factor of w+1.
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Cancel the common factor.
2w+1⋅(w+1)=-7⋅(w+1)
Rewrite the expression.
2=-7⋅(w+1)
2=-7⋅(w+1)
Simplify -7⋅(w+1).
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Apply the distributive property.
2=-7w-7⋅1
Multiply -7 by 1.
2=-7w-7
2=-7w-7
2=-7w-7
Rewrite the equation as -7w-7=2.
-7w-7=2
Move all terms not containing w to the right side of the equation.
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Add 7 to both sides of the equation.
-7w=2+7
Add 2 and 7.
-7w=9
-7w=9
Divide each term by -7 and simplify.
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Divide each term in -7w=9 by -7.
-7w-7=9-7
Cancel the common factor of -7.
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Cancel the common factor.
-7w-7=9-7
Divide w by 1.
w=9-7
w=9-7
Move the negative in front of the fraction.
w=-97
w=-97
The result can be shown in multiple forms.
Exact Form:
w=-97
Decimal Form:
w=-1.285714‾
Mixed Number Form:
w=-127
Solve for w 2/(w+1)=-7

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