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Simplifying 19 + 2w + 18 = -20 + -17w Reorder the terms: 19 + 18 + 2w = -20 + -17w Combine like terms: 19 + 18 = 37 37 + 2w = -20 + -17w Solving 37 + 2w = -20 + -17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17w' to each side of the equation. 37 + 2w + 17w = -20 + -17w + 17w Combine like terms: 2w + 17w = 19w 37 + 19w = -20 + -17w + 17w Combine like terms: -17w + 17w = 0 37 + 19w = -20 + 0 37 + 19w = -20 Add '-37' to each side of the equation. 37 + -37 + 19w = -20 + -37 Combine like terms: 37 + -37 = 0 0 + 19w = -20 + -37 19w = -20 + -37 Combine like terms: -20 + -37 = -57 19w = -57 Divide each side by '19'. w = -3 Simplifying w = -3
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