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6k-2-10k\geq 10
Subtract 10k from both sides.
-4k-2\geq 10
Combine 6k and -10k to get -4k.
-4k\geq 10+2
Add 2 to both sides.
-4k\geq 12
Add 10 and 2 to get 12.
k\leq \frac{12}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
k\leq -3
Divide 12 by -4 to get -3.