The investigators hypothesize that participants assigned to the walnut-enriched diet study arm will have greater weight loss and overall better improvements in cardiovascular disease risk factors, and that ratings of hunger, fullness, and anticipated prospective consumption will differ from those of participants assigned to the standard reduced-energy diet. The investigators hypothesize that postprandial satiety- and appetite-related gastrointestinal peptides, which play a role in short-term control of appetite and may be biomarkers of satiety, may differ in response to different isocaloric meal composition. Results from this study will contribute to understanding the role of nuts in weight control, including further knowledge of the explanatory mechanisms, and will expand knowledge of how nuts in the diet may contribute to the prevention and management of obesity.