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Simplifying w + (w + 8) * 2 = 84 Reorder the terms: w + (8 + w) * 2 = 84 Reorder the terms for easier multiplication: w + 2(8 + w) = 84 w + (8 * 2 + w * 2) = 84 w + (16 + 2w) = 84 Reorder the terms: 16 + w + 2w = 84 Combine like terms: w + 2w = 3w 16 + 3w = 84 Solving 16 + 3w = 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 + 3w = 84 + -16 Combine like terms: 16 + -16 = 0 0 + 3w = 84 + -16 3w = 84 + -16 Combine like terms: 84 + -16 = 68 3w = 68 Divide each side by '3'. w = 22.66666667 Simplifying w = 22.66666667
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