Concept:Since the same non-zero number 117 multiplies both brackets, it can be cancelled from both sides.Explanation:Divide both sides of 117(12+18)=117(15+k) by 117.We get 12+18=15+k.Now, 12+18=30.So, 30=15+k.Subtract 15 from both sides: 30−15=k.Therefore, k=15.Answer:k=15, which is option A.