Final answer:
Britain opposed Spain's reestablishment in Latin America to maintain open trade opportunities and prevent other European countries from gaining influence in the region. Therefore, the correct option is d.
Step-by-step explanation:
Britain opposed Spain's reestablishing its authority in Latin American countries that had successfully revolted because these formerly Spanish possessions in Latin America were now open to lucrative trade and British exporters and shipowners were profiting significantly. After the Napoleonic Wars, Britain sought new markets for its industrial products. Latin America's new independence appealed to Britain, not only for economic reasons but also to thwart other European powers from establishing influence in the Western Hemisphere.