5k/16+2k/12=(-25+k)/24
find common denomenator so we can cancel them
find GCM of 16,12, and 24
16=2*2*2*2
12=2*2*3
24=2*2*2*3
GCM=2*2*2*2*3=48
multiply everybody by 48
3(5k)+4(2k)=2(-25+k)
distribute
15k+8k=-50+2k
add like terms
23k=-50+2k
subtract 2k
21k=-50
divie both sides by 21
k=-50/21
k=-2 and 4/25