SOLVING:
[tex]-7(k+9)=9(k-5)-14k\\ \\-7k-63=9k-45-14k\\ \\-7k-63=-45-5k\\ \\45-63=7k-5k\\ \\-18=2k\\ \\ \dfrac{-18}{2}=k\\ \\\boxed{ \boxed{-9}}=k\ ===>\ The\ great\ answer.[/tex]
TESTING:
[tex]-7(-9+9)=9(-9-5)-14(-9)\\ \\-7(0)=9(-14)+126\\ \\0=-126+126\\ \\\boxed{0}=\boxed{0}\quad\checkmark\ Correct.[/tex]
GOOD LUCK...!!!