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1=-\left(-k+2\right)\left(-1\right)
Variable k cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by k-2, the least common multiple of k-2,-1.
1=-\left(k-2\right)
Use the distributive property to multiply -k+2 by -1.
1=-k+2
To find the opposite of k-2, find the opposite of each term.
-k+2=1
Swap sides so that all variable terms are on the left hand side.
-k=1-2
Subtract 2 from both sides.
-k=-1
Subtract 2 from 1 to get -1.
k=1
Multiply both sides by -1.