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Simplifying -5w + 25 = 4(w + 4) Reorder the terms: 25 + -5w = 4(w + 4) Reorder the terms: 25 + -5w = 4(4 + w) 25 + -5w = (4 * 4 + w * 4) 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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