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Simplifying 15w + 25 = 5w + -75 Reorder the terms: 25 + 15w = 5w + -75 Reorder the terms: 25 + 15w = -75 + 5w Solving 25 + 15w = -75 + 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 + 15w + -5w = -75 + 5w + -5w Combine like terms: 15w + -5w = 10w 25 + 10w = -75 + 5w + -5w Combine like terms: 5w + -5w = 0 25 + 10w = -75 + 0 25 + 10w = -75 Add '-25' to each side of the equation. 25 + -25 + 10w = -75 + -25 Combine like terms: 25 + -25 = 0 0 + 10w = -75 + -25 10w = -75 + -25 Combine like terms: -75 + -25 = -100 10w = -100 Divide each side by '10'. w = -10 Simplifying w = -10
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