\(\sf-(k+9)-8=-4k-9\)
Distribute -1 into the parenthesis:
\(\sf-k-9-8=-4k-9\)
Combine like terms:
\(\sf-k-17=-4k-9\)
Add 17 to both sides:
\(\sf-k=-4k+8\)
Add 4k to both sides:
\(\sf3k=8\)
Divide 3 to both sides:
\(\sf~k=\dfrac{8}{3}~or~2\dfrac{2}{3}\)
