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2k-13-\left(-k\right)=2
To find the opposite of 13-k, find the opposite of each term.
2k-13+k=2
The opposite of -k is k.
3k-13=2
Combine 2k and k to get 3k.
3k=2+13
Add 13 to both sides.
3k=15
Add 2 and 13 to get 15.
k=\frac{15}{3}
Divide both sides by 3.
k=5
Divide 15 by 3 to get 5.