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Simplifying 1.8(w + 0.25) = 0.33(2w + 0.88) Reorder the terms: 1.8(0.25 + w) = 0.33(2w + 0.88) (0.25 * 1.8 + w * 1.8) = 0.33(2w + 0.88) (0.45 + 1.8w) = 0.33(2w + 0.88) Reorder the terms: 0.45 + 1.8w = 0.33(0.88 + 2w) 0.45 + 1.8w = (0.88 * 0.33 + 2w * 0.33) 0.45 + 1.8w = (0.2904 + 0.66w) Solving 0.45 + 1.8w = 0.2904 + 0.66w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.66w' to each side of the equation. 0.45 + 1.8w + -0.66w = 0.2904 + 0.66w + -0.66w Combine like terms: 1.8w + -0.66w = 1.14w 0.45 + 1.14w = 0.2904 + 0.66w + -0.66w Combine like terms: 0.66w + -0.66w = 0.00 0.45 + 1.14w = 0.2904 + 0.00 0.45 + 1.14w = 0.2904 Add '-0.45' to each side of the equation. 0.45 + -0.45 + 1.14w = 0.2904 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + 1.14w = 0.2904 + -0.45 1.14w = 0.2904 + -0.45 Combine like terms: 0.2904 + -0.45 = -0.1596 1.14w = -0.1596 Divide each side by '1.14'. w = -0.14 Simplifying w = -0.14
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