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Simplifying 2(10 + -1w) + 10 = -10(w + -2) + -3 (10 * 2 + -1w * 2) + 10 = -10(w + -2) + -3 (20 + -2w) + 10 = -10(w + -2) + -3 Reorder the terms: 20 + 10 + -2w = -10(w + -2) + -3 Combine like terms: 20 + 10 = 30 30 + -2w = -10(w + -2) + -3 Reorder the terms: 30 + -2w = -10(-2 + w) + -3 30 + -2w = (-2 * -10 + w * -10) + -3 30 + -2w = (20 + -10w) + -3 Reorder the terms: 30 + -2w = 20 + -3 + -10w Combine like terms: 20 + -3 = 17 30 + -2w = 17 + -10w Solving 30 + -2w = 17 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 30 + -2w + 10w = 17 + -10w + 10w Combine like terms: -2w + 10w = 8w 30 + 8w = 17 + -10w + 10w Combine like terms: -10w + 10w = 0 30 + 8w = 17 + 0 30 + 8w = 17 Add '-30' to each side of the equation. 30 + -30 + 8w = 17 + -30 Combine like terms: 30 + -30 = 0 0 + 8w = 17 + -30 8w = 17 + -30 Combine like terms: 17 + -30 = -13 8w = -13 Divide each side by '8'. w = -1.625 Simplifying w = -1.625
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