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Simplifying 92 = 2(w + 18) + 2w Reorder the terms: 92 = 2(18 + w) + 2w 92 = (18 * 2 + w * 2) + 2w 92 = (36 + 2w) + 2w Combine like terms: 2w + 2w = 4w 92 = 36 + 4w Solving 92 = 36 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 92 + -4w = 36 + 4w + -4w Combine like terms: 4w + -4w = 0 92 + -4w = 36 + 0 92 + -4w = 36 Add '-92' to each side of the equation. 92 + -92 + -4w = 36 + -92 Combine like terms: 92 + -92 = 0 0 + -4w = 36 + -92 -4w = 36 + -92 Combine like terms: 36 + -92 = -56 -4w = -56 Divide each side by '-4'. w = 14 Simplifying w = 14
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