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Simplifying 5w + 3 = -1(4w + 5) Reorder the terms: 3 + 5w = -1(4w + 5) Reorder the terms: 3 + 5w = -1(5 + 4w) 3 + 5w = (5 * -1 + 4w * -1) 3 + 5w = (-5 + -4w) Solving 3 + 5w = -5 + -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. 3 + 5w + 4w = -5 + -4w + 4w Combine like terms: 5w + 4w = 9w 3 + 9w = -5 + -4w + 4w Combine like terms: -4w + 4w = 0 3 + 9w = -5 + 0 3 + 9w = -5 Add '-3' to each side of the equation. 3 + -3 + 9w = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 9w = -5 + -3 9w = -5 + -3 Combine like terms: -5 + -3 = -8 9w = -8 Divide each side by '9'. w = -0.8888888889 Simplifying w = -0.8888888889
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