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Simplifying (w + 3.5) * 2 + (2w) = 31 Reorder the terms: (3.5 + w) * 2 + (2w) = 31 Reorder the terms for easier multiplication: 2(3.5 + w) + (2w) = 31 (3.5 * 2 + w * 2) + (2w) = 31 (7 + 2w) + (2w) = 31 Combine like terms: 2w + (2w) = 4w 7 + 4w = 31 Solving 7 + 4w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4w = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 4w = 31 + -7 4w = 31 + -7 Combine like terms: 31 + -7 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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