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Simplifying 84 = 2(w + 8) + 2w Reorder the terms: 84 = 2(8 + w) + 2w 84 = (8 * 2 + w * 2) + 2w 84 = (16 + 2w) + 2w Combine like terms: 2w + 2w = 4w 84 = 16 + 4w Solving 84 = 16 + 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. 84 + -4w = 16 + 4w + -4w Combine like terms: 4w + -4w = 0 84 + -4w = 16 + 0 84 + -4w = 16 Add '-84' to each side of the equation. 84 + -84 + -4w = 16 + -84 Combine like terms: 84 + -84 = 0 0 + -4w = 16 + -84 -4w = 16 + -84 Combine like terms: 16 + -84 = -68 -4w = -68 Divide each side by '-4'. w = 17 Simplifying w = 17
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