Solve for k
k<-8
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-5k-20>2-\left(3k+6\right)
Use the distributive property to multiply -5 by k+4.
-5k-20>2-3k-6
To find the opposite of 3k+6, find the opposite of each term.
-5k-20>-4-3k
Subtract 6 from 2 to get -4.
-5k-20+3k>-4
Add 3k to both sides.
-2k-20>-4
Combine -5k and 3k to get -2k.
-2k>-4+20
Add 20 to both sides.
-2k>16
Add -4 and 20 to get 16.
k<\frac{16}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
k<-8
Divide 16 by -2 to get -8.
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