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Simplifying w(5w + -3) + -5w(w + -4) = w + -2 Reorder the terms: w(-3 + 5w) + -5w(w + -4) = w + -2 (-3 * w + 5w * w) + -5w(w + -4) = w + -2 (-3w + 5w2) + -5w(w + -4) = w + -2 Reorder the terms: -3w + 5w2 + -5w(-4 + w) = w + -2 -3w + 5w2 + (-4 * -5w + w * -5w) = w + -2 -3w + 5w2 + (20w + -5w2) = w + -2 Reorder the terms: -3w + 20w + 5w2 + -5w2 = w + -2 Combine like terms: -3w + 20w = 17w 17w + 5w2 + -5w2 = w + -2 Combine like terms: 5w2 + -5w2 = 0 17w + 0 = w + -2 17w = w + -2 Reorder the terms: 17w = -2 + w Solving 17w = -2 + 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. 17w + -1w = -2 + w + -1w Combine like terms: 17w + -1w = 16w 16w = -2 + w + -1w Combine like terms: w + -1w = 0 16w = -2 + 0 16w = -2 Divide each side by '16'. w = -0.125 Simplifying w = -0.125
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