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Simplifying 0.5(w + 6) = 8 Reorder the terms: 0.5(6 + w) = 8 (6 * 0.5 + w * 0.5) = 8 (3 + 0.5w) = 8 Solving 3 + 0.5w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 0.5w = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 0.5w = 8 + -3 0.5w = 8 + -3 Combine like terms: 8 + -3 = 5 0.5w = 5 Divide each side by '0.5'. w = 10 Simplifying w = 10
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