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Simplifying 5(w + 2) = -5w + 50 Reorder the terms: 5(2 + w) = -5w + 50 (2 * 5 + w * 5) = -5w + 50 (10 + 5w) = -5w + 50 Reorder the terms: 10 + 5w = 50 + -5w Solving 10 + 5w = 50 + -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. 10 + 5w + 5w = 50 + -5w + 5w Combine like terms: 5w + 5w = 10w 10 + 10w = 50 + -5w + 5w Combine like terms: -5w + 5w = 0 10 + 10w = 50 + 0 10 + 10w = 50 Add '-10' to each side of the equation. 10 + -10 + 10w = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 10w = 50 + -10 10w = 50 + -10 Combine like terms: 50 + -10 = 40 10w = 40 Divide each side by '10'. w = 4 Simplifying w = 4
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