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Simplifying 5(1 + 2w) + 8w = 4.5 (1 * 5 + 2w * 5) + 8w = 4.5 (5 + 10w) + 8w = 4.5 Combine like terms: 10w + 8w = 18w 5 + 18w = 4.5 Solving 5 + 18w = 4.5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 18w = 4.5 + -5 Combine like terms: 5 + -5 = 0 0 + 18w = 4.5 + -5 18w = 4.5 + -5 Combine like terms: 4.5 + -5 = -0.5 18w = -0.5 Divide each side by '18'. w = -0.02777777778 Simplifying w = -0.02777777778
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