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Simplifying (w + -1)(w + 2) = w(w + -4) Reorder the terms: (-1 + w)(w + 2) = w(w + -4) Reorder the terms: (-1 + w)(2 + w) = w(w + -4) Multiply (-1 + w) * (2 + w) (-1(2 + w) + w(2 + w)) = w(w + -4) ((2 * -1 + w * -1) + w(2 + w)) = w(w + -4) ((-2 + -1w) + w(2 + w)) = w(w + -4) (-2 + -1w + (2 * w + w * w)) = w(w + -4) (-2 + -1w + (2w + w2)) = w(w + -4) Combine like terms: -1w + 2w = 1w (-2 + 1w + w2) = w(w + -4) Reorder the terms: -2 + 1w + w2 = w(-4 + w) -2 + 1w + w2 = (-4 * w + w * w) -2 + 1w + w2 = (-4w + w2) Add '-1w2' to each side of the equation. -2 + 1w + w2 + -1w2 = -4w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -2 + 1w + 0 = -4w + w2 + -1w2 -2 + 1w = -4w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -2 + 1w = -4w + 0 -2 + 1w = -4w Solving -2 + 1w = -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -2 + 1w + 4w = -4w + 4w Combine like terms: 1w + 4w = 5w -2 + 5w = -4w + 4w Combine like terms: -4w + 4w = 0 -2 + 5w = 0 Add '2' to each side of the equation. -2 + 2 + 5w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5w = 0 + 2 5w = 0 + 2 Combine like terms: 0 + 2 = 2 5w = 2 Divide each side by '5'. w = 0.4 Simplifying w = 0.4
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