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Solve for k
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k-3=-9k
Subtract 7 from 4 to get -3.
k-3+9k=0
Add 9k to both sides.
10k-3=0
Combine k and 9k to get 10k.
10k=3
Add 3 to both sides. Anything plus zero gives itself.
k=\frac{3}{10}
Divide both sides by 10.