Final answer:
The motivation behind Peter the Great's 'Invitation of Foreigners' was A)to encourage stronger ties with Western Europe to facilitate the modernization and westernization of Russia.
Step-by-step explanation:
An important motivation behind Peter the Great's 'Invitation of Foreigners' was A) to encourage strengthened ties with western Europe. By the late 17th century, Peter the Great recognized the necessity of modernizing Russia to enhance its military, administrative, and commercial capabilities. His trips to Europe and keen observation of naval technologies and governance methods underscored the need for foreign expertise and innovation, which could be attained by building stronger relationships with Western European nations. This was part of his broader objective of westernizing Russia, which included reforms in government, the military, and society, to ensure Russia's security and prosperity.