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Simplifying 9w + -39 = -5(w + 5) Reorder the terms: -39 + 9w = -5(w + 5) Reorder the terms: -39 + 9w = -5(5 + w) -39 + 9w = (5 * -5 + w * -5) -39 + 9w = (-25 + -5w) Solving -39 + 9w = -25 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -39 + 9w + 5w = -25 + -5w + 5w Combine like terms: 9w + 5w = 14w -39 + 14w = -25 + -5w + 5w Combine like terms: -5w + 5w = 0 -39 + 14w = -25 + 0 -39 + 14w = -25 Add '39' to each side of the equation. -39 + 39 + 14w = -25 + 39 Combine like terms: -39 + 39 = 0 0 + 14w = -25 + 39 14w = -25 + 39 Combine like terms: -25 + 39 = 14 14w = 14 Divide each side by '14'. w = 1 Simplifying w = 1
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