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Simplifying 4w + 5(w + -5) = -34 Reorder the terms: 4w + 5(-5 + w) = -34 4w + (-5 * 5 + w * 5) = -34 4w + (-25 + 5w) = -34 Reorder the terms: -25 + 4w + 5w = -34 Combine like terms: 4w + 5w = 9w -25 + 9w = -34 Solving -25 + 9w = -34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9w = -34 + 25 Combine like terms: -25 + 25 = 0 0 + 9w = -34 + 25 9w = -34 + 25 Combine like terms: -34 + 25 = -9 9w = -9 Divide each side by '9'. w = -1 Simplifying w = -1
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