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-\left(2+k\right)=-2\left(k+1\right)
Variable k cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by k+1.
-2-k=-2\left(k+1\right)
To find the opposite of 2+k, find the opposite of each term.
-2-k=-2k-2
Use the distributive property to multiply -2 by k+1.
-2-k+2k=-2
Add 2k to both sides.
-2+k=-2
Combine -k and 2k to get k.
k=-2+2
Add 2 to both sides.
k=0
Add -2 and 2 to get 0.