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Simplifying 2w + 2[1.5(w + 10)] = 100 Reorder the terms: 2w + 2[1.5(10 + w)] = 100 2w + 2[(10 * 1.5 + w * 1.5)] = 100 2w + 2[(15 + 1.5w)] = 100 2w + [15 * 2 + 1.5w * 2] = 100 2w + [30 + 3w] = 100 Reorder the terms: 30 + 2w + 3w = 100 Combine like terms: 2w + 3w = 5w 30 + 5w = 100 Solving 30 + 5w = 100 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5w = 100 + -30 Combine like terms: 30 + -30 = 0 0 + 5w = 100 + -30 5w = 100 + -30 Combine like terms: 100 + -30 = 70 5w = 70 Divide each side by '5'. w = 14 Simplifying w = 14
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