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Simplifying 0.5(3w + 8) = 2 Reorder the terms: 0.5(8 + 3w) = 2 (8 * 0.5 + 3w * 0.5) = 2 (4 + 1.5w) = 2 Solving 4 + 1.5w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1.5w = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1.5w = 2 + -4 1.5w = 2 + -4 Combine like terms: 2 + -4 = -2 1.5w = -2 Divide each side by '1.5'. w = -1.333333333 Simplifying w = -1.333333333
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