[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]