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Simplifying (w + (w + 8)) * 2 = 84 Reorder the terms: (w + (8 + w)) * 2 = 84 Remove parenthesis around (8 + w) (w + 8 + w) * 2 = 84 Reorder the terms: (8 + w + w) * 2 = 84 Combine like terms: w + w = 2w (8 + 2w) * 2 = 84 Reorder the terms for easier multiplication: 2(8 + 2w) = 84 (8 * 2 + 2w * 2) = 84 (16 + 4w) = 84 Solving 16 + 4w = 84 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4w = 84 + -16 Combine like terms: 16 + -16 = 0 0 + 4w = 84 + -16 4w = 84 + -16 Combine like terms: 84 + -16 = 68 4w = 68 Divide each side by '4'. w = 17 Simplifying w = 17
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