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4k-4+5k\geq 7
Add 5k to both sides.
9k-4\geq 7
Combine 4k and 5k to get 9k.
9k\geq 7+4
Add 4 to both sides.
9k\geq 11
Add 7 and 4 to get 11.
k\geq \frac{11}{9}
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.