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Simplifying 2 * 6w + 2w * 8 + 2 * 6 * 8 = 208 Multiply 2 * 6 12w + 2w * 8 + 2 * 6 * 8 = 208 Reorder the terms for easier multiplication: 12w + 2 * 8w + 2 * 6 * 8 = 208 Multiply 2 * 8 12w + 16w + 2 * 6 * 8 = 208 Multiply 2 * 6 12w + 16w + 12 * 8 = 208 Multiply 12 * 8 12w + 16w + 96 = 208 Reorder the terms: 96 + 12w + 16w = 208 Combine like terms: 12w + 16w = 28w 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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