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Simplifying 5w + 9 = -1(4w + 11) Reorder the terms: 9 + 5w = -1(4w + 11) Reorder the terms: 9 + 5w = -1(11 + 4w) 9 + 5w = (11 * -1 + 4w * -1) 9 + 5w = (-11 + -4w) Solving 9 + 5w = -11 + -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. 9 + 5w + 4w = -11 + -4w + 4w Combine like terms: 5w + 4w = 9w 9 + 9w = -11 + -4w + 4w Combine like terms: -4w + 4w = 0 9 + 9w = -11 + 0 9 + 9w = -11 Add '-9' to each side of the equation. 9 + -9 + 9w = -11 + -9 Combine like terms: 9 + -9 = 0 0 + 9w = -11 + -9 9w = -11 + -9 Combine like terms: -11 + -9 = -20 9w = -20 Divide each side by '9'. w = -2.222222222 Simplifying w = -2.222222222
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