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Simplifying 5w + 30 = -5w + -20 Reorder the terms: 30 + 5w = -5w + -20 Reorder the terms: 30 + 5w = -20 + -5w Solving 30 + 5w = -20 + -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. 30 + 5w + 5w = -20 + -5w + 5w Combine like terms: 5w + 5w = 10w 30 + 10w = -20 + -5w + 5w Combine like terms: -5w + 5w = 0 30 + 10w = -20 + 0 30 + 10w = -20 Add '-30' to each side of the equation. 30 + -30 + 10w = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 10w = -20 + -30 10w = -20 + -30 Combine like terms: -20 + -30 = -50 10w = -50 Divide each side by '10'. w = -5 Simplifying w = -5
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