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Simplifying 4w2 + -5w + -4w2 + 20w = w + -4 Reorder the terms: -5w + 20w + 4w2 + -4w2 = w + -4 Combine like terms: -5w + 20w = 15w 15w + 4w2 + -4w2 = w + -4 Combine like terms: 4w2 + -4w2 = 0 15w + 0 = w + -4 15w = w + -4 Reorder the terms: 15w = -4 + w Solving 15w = -4 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 15w + -1w = -4 + w + -1w Combine like terms: 15w + -1w = 14w 14w = -4 + w + -1w Combine like terms: w + -1w = 0 14w = -4 + 0 14w = -4 Divide each side by '14'. w = -0.2857142857 Simplifying w = -0.2857142857
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