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Simplifying 5w + 50 = -5w + -5 Reorder the terms: 50 + 5w = -5w + -5 Reorder the terms: 50 + 5w = -5 + -5w Solving 50 + 5w = -5 + -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. 50 + 5w + 5w = -5 + -5w + 5w Combine like terms: 5w + 5w = 10w 50 + 10w = -5 + -5w + 5w Combine like terms: -5w + 5w = 0 50 + 10w = -5 + 0 50 + 10w = -5 Add '-50' to each side of the equation. 50 + -50 + 10w = -5 + -50 Combine like terms: 50 + -50 = 0 0 + 10w = -5 + -50 10w = -5 + -50 Combine like terms: -5 + -50 = -55 10w = -55 Divide each side by '10'. w = -5.5 Simplifying w = -5.5
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