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Simplifying 10(w + 2) = 5(w + -1) Reorder the terms: 10(2 + w) = 5(w + -1) (2 * 10 + w * 10) = 5(w + -1) (20 + 10w) = 5(w + -1) Reorder the terms: 20 + 10w = 5(-1 + w) 20 + 10w = (-1 * 5 + w * 5) 20 + 10w = (-5 + 5w) Solving 20 + 10w = -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. 20 + 10w + -5w = -5 + 5w + -5w Combine like terms: 10w + -5w = 5w 20 + 5w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 20 + 5w = -5 + 0 20 + 5w = -5 Add '-20' to each side of the equation. 20 + -20 + 5w = -5 + -20 Combine like terms: 20 + -20 = 0 0 + 5w = -5 + -20 5w = -5 + -20 Combine like terms: -5 + -20 = -25 5w = -25 Divide each side by '5'. w = -5 Simplifying w = -5
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