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Simplifying 0.5(8w + -6) = 17 Reorder the terms: 0.5(-6 + 8w) = 17 (-6 * 0.5 + 8w * 0.5) = 17 (-3 + 4w) = 17 Solving -3 + 4w = 17 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 + 4w = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 4w = 17 + 3 4w = 17 + 3 Combine like terms: 17 + 3 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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