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Simplifying 1.5(w + 2) + 2 = 8 Reorder the terms: 1.5(2 + w) + 2 = 8 (2 * 1.5 + w * 1.5) + 2 = 8 (3 + 1.5w) + 2 = 8 Reorder the terms: 3 + 2 + 1.5w = 8 Combine like terms: 3 + 2 = 5 5 + 1.5w = 8 Solving 5 + 1.5w = 8 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 + 1.5w = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1.5w = 8 + -5 1.5w = 8 + -5 Combine like terms: 8 + -5 = 3 1.5w = 3 Divide each side by '1.5'. w = 2 Simplifying w = 2
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