Social Security Questions? Ask a Social Security Expert
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Unfortunately, yes, even though you are participating you still must pay withholding for Social Security and Medicare. As long as you work at a job that’s covered by Social Security, as most are, your employer has to deduct both Social Security and Medicare taxes from your pay check. In addition, the employer must pay its share of matching taxes. See the following links for explanation.
Social Security: https://faq.ssa.gov/link/portal/34011/34019/Article/3739/What-happens-if-I-work-and-get-Social-Security-retirement-benefits
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