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5k-6\geq 6\left(-6\right)
Multiply both sides by -6. Since -6 is negative, the inequality direction is changed.
5k-6\geq -36
Multiply 6 and -6 to get -36.
5k\geq -36+6
Add 6 to both sides.
5k\geq -30
Add -36 and 6 to get -30.
k\geq \frac{-30}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
k\geq -6
Divide -30 by 5 to get -6.