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Simplifying 0.5(w + 2) = 0.3 + 0.2 Reorder the terms: 0.5(2 + w) = 0.3 + 0.2 (2 * 0.5 + w * 0.5) = 0.3 + 0.2 (1 + 0.5w) = 0.3 + 0.2 Combine like terms: 0.3 + 0.2 = 0.5 1 + 0.5w = 0.5 Solving 1 + 0.5w = 0.5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.5w = 0.5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5w = 0.5 + -1 0.5w = 0.5 + -1 Combine like terms: 0.5 + -1 = -0.5 0.5w = -0.5 Divide each side by '0.5'. w = -1 Simplifying w = -1
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