Answer :

[tex]-(k + 9) - 8 = -4k - 9\\ -k-9-8=-4k-9\\ 3k=8\\ k=\dfrac{8}{3}[/tex]
iGreen
[tex]\sf-(k+9)-8=-4k-9[/tex]

Distribute -1 into the parenthesis:

[tex]\sf-k-9-8=-4k-9[/tex]

Combine like terms:

[tex]\sf-k-17=-4k-9[/tex]

Add 17 to both sides:

[tex]\sf-k=-4k+8[/tex]

Add 4k to both sides:

[tex]\sf3k=8[/tex]

Divide 3 to both sides:

[tex]\sf~k=\dfrac{8}{3}~or~2\dfrac{2}{3}[/tex]