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Simplifying 2w2 + -5w + -2w2 + -8w = w + -4 Reorder the terms: -5w + -8w + 2w2 + -2w2 = w + -4 Combine like terms: -5w + -8w = -13w -13w + 2w2 + -2w2 = w + -4 Combine like terms: 2w2 + -2w2 = 0 -13w + 0 = w + -4 -13w = w + -4 Reorder the terms: -13w = -4 + w Solving -13w = -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. -13w + -1w = -4 + w + -1w Combine like terms: -13w + -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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