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Simplifying 82 = 2(w + 13) + 2w Reorder the terms: 82 = 2(13 + w) + 2w 82 = (13 * 2 + w * 2) + 2w 82 = (26 + 2w) + 2w Combine like terms: 2w + 2w = 4w 82 = 26 + 4w Solving 82 = 26 + 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. 82 + -4w = 26 + 4w + -4w Combine like terms: 4w + -4w = 0 82 + -4w = 26 + 0 82 + -4w = 26 Add '-82' to each side of the equation. 82 + -82 + -4w = 26 + -82 Combine like terms: 82 + -82 = 0 0 + -4w = 26 + -82 -4w = 26 + -82 Combine like terms: 26 + -82 = -56 -4w = -56 Divide each side by '-4'. w = 14 Simplifying w = 14
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