Question

political machines gained power among the immigrants by
using the threat of deporting them
using brute force against them
threatening to destroy businesses owned by them
helping them meet their needs

Explanation:

Political machines were organizations that sought to gain political power. Immigrants often faced challenges in their new environment. By helping immigrants meet their needs (such as providing housing, jobs, or assistance in navigating bureaucracy), political machines could gain the loyalty and support of immigrants. Threatening deportation, using brute - force, or threatening to destroy businesses would likely create opposition rather than gain power among immigrants.

Answer:

helping them meet their needs