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Someone who is right-wing in politics is usually someone who supports social or economic conservatism. In other words, if a person has chosen to be Conservative, that person is usually more "conservative" about economic and social change.
Right-wing refers to the right side of the political spectrum which wants less government involvement in the economy and less welfare spending. The left-wing refers to the left side of the political spectrum which supports more government involvement in the economy and more protection for poor people.
One of the most popular right-wing president to many conservatives is Ronald Reagan.