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Simplifying (w + 3) + (w + 5) + 2w = 32 Reorder the terms: (3 + w) + (w + 5) + 2w = 32 Remove parenthesis around (3 + w) 3 + w + (w + 5) + 2w = 32 Reorder the terms: 3 + w + (5 + w) + 2w = 32 Remove parenthesis around (5 + w) 3 + w + 5 + w + 2w = 32 Reorder the terms: 3 + 5 + w + w + 2w = 32 Combine like terms: 3 + 5 = 8 8 + w + w + 2w = 32 Combine like terms: w + w = 2w 8 + 2w + 2w = 32 Combine like terms: 2w + 2w = 4w 8 + 4w = 32 Solving 8 + 4w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4w = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 32 + -8 4w = 32 + -8 Combine like terms: 32 + -8 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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