Valmiki Ramayana Ayodhya Kanda Sarga 14 Shloka 65
Original Shlokaसुमन्त्रश्चिन्तयामास त्वरितं चोदितस्तया।।2.14.65।। व्यक्तं रामोऽभिषेकार्थमिहायास्यति धर्मवित्।
1 source checked for this shloka
तया by her, चोदितः urged, सुमन्त्रः Sumantra, चिन्तयामास thought over, धर्मवित् a knower of righteousness, रामः Rama, व्यक्तम् definitely, अभिषेकार्थम् for installation, इह here, आयास्यति he will come.
Urged by Kaikeyi, Sumantra thought 'Righteous Rama will definitely come here for the purpose of installation'.