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Simplifying 8w + 25 = 5w + 49 Reorder the terms: 25 + 8w = 5w + 49 Reorder the terms: 25 + 8w = 49 + 5w Solving 25 + 8w = 49 + 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. 25 + 8w + -5w = 49 + 5w + -5w Combine like terms: 8w + -5w = 3w 25 + 3w = 49 + 5w + -5w Combine like terms: 5w + -5w = 0 25 + 3w = 49 + 0 25 + 3w = 49 Add '-25' to each side of the equation. 25 + -25 + 3w = 49 + -25 Combine like terms: 25 + -25 = 0 0 + 3w = 49 + -25 3w = 49 + -25 Combine like terms: 49 + -25 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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