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Brisk walking, rowing, running and cross training are the best exercises. For an overweight person I would recommend the cross-trainer as there is less impact and they will find it easier. Otherwise...
The more you move the more calories you burn. So an intense constant run would burn up the most. Having said that be careful not to overdue and injure yourself.
HIIT...High Intensity Interval Training. This makes your heart rate start slow, hit max, and slow back down again, burning the max number of calories. Ex: 20 sec power walk, 20 sec jog, 20 sec...
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