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Simplifying 2(w * 6 + 6 * 8 + 8w) = 208 Reorder the terms for easier multiplication: 2(6w + 6 * 8 + 8w) = 208 Multiply 6 * 8 2(6w + 48 + 8w) = 208 Reorder the terms: 2(48 + 6w + 8w) = 208 Combine like terms: 6w + 8w = 14w 2(48 + 14w) = 208 (48 * 2 + 14w * 2) = 208 (96 + 28w) = 208 Solving 96 + 28w = 208 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + 28w = 208 + -96 Combine like terms: 96 + -96 = 0 0 + 28w = 208 + -96 28w = 208 + -96 Combine like terms: 208 + -96 = 112 28w = 112 Divide each side by '28'. w = 4 Simplifying w = 4
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