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Simplifying 5(w + 10) = -5w + 50 Reorder the terms: 5(10 + w) = -5w + 50 (10 * 5 + w * 5) = -5w + 50 (50 + 5w) = -5w + 50 Reorder the terms: 50 + 5w = 50 + -5w Add '-50' to each side of the equation. 50 + -50 + 5w = 50 + -50 + -5w Combine like terms: 50 + -50 = 0 0 + 5w = 50 + -50 + -5w 5w = 50 + -50 + -5w Combine like terms: 50 + -50 = 0 5w = 0 + -5w 5w = -5w Solving 5w = -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. 5w + 5w = -5w + 5w Combine like terms: 5w + 5w = 10w 10w = -5w + 5w Combine like terms: -5w + 5w = 0 10w = 0 Divide each side by '10'. w = 0.0 Simplifying w = 0.0
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