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Simplifying 5(w + 5) = -4w + 16 Reorder the terms: 5(5 + w) = -4w + 16 (5 * 5 + w * 5) = -4w + 16 (25 + 5w) = -4w + 16 Reorder the terms: 25 + 5w = 16 + -4w Solving 25 + 5w = 16 + -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. 25 + 5w + 4w = 16 + -4w + 4w Combine like terms: 5w + 4w = 9w 25 + 9w = 16 + -4w + 4w Combine like terms: -4w + 4w = 0 25 + 9w = 16 + 0 25 + 9w = 16 Add '-25' to each side of the equation. 25 + -25 + 9w = 16 + -25 Combine like terms: 25 + -25 = 0 0 + 9w = 16 + -25 9w = 16 + -25 Combine like terms: 16 + -25 = -9 9w = -9 Divide each side by '9'. w = -1 Simplifying w = -1
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