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Simplifying w + w + 3 + 2(w + 3) = 41 Reorder the terms: w + w + 3 + 2(3 + w) = 41 w + w + 3 + (3 * 2 + w * 2) = 41 w + w + 3 + (6 + 2w) = 41 Reorder the terms: 3 + 6 + w + w + 2w = 41 Combine like terms: 3 + 6 = 9 9 + w + w + 2w = 41 Combine like terms: w + w = 2w 9 + 2w + 2w = 41 Combine like terms: 2w + 2w = 4w 9 + 4w = 41 Solving 9 + 4w = 41 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4w = 41 + -9 Combine like terms: 9 + -9 = 0 0 + 4w = 41 + -9 4w = 41 + -9 Combine like terms: 41 + -9 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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