Question 861318
{{{-1/k - 7/24 = k/48}}}


{{{ - 7/24 = k/48+1/k }}}


{{{-7/24 = (k^2+48)/48k}}}


cross multiply

-7*48k/24 = k^2+48

-14k = k^2+48

k^2+14k+48

k^2+8k+6k+48=0

k(k+8)+6(k+8)=0

(k+8)(k+6)=0

k=-8 OR -6