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Simplifying 19w + -4w + 23 = 8w + -19 Reorder the terms: 23 + 19w + -4w = 8w + -19 Combine like terms: 19w + -4w = 15w 23 + 15w = 8w + -19 Reorder the terms: 23 + 15w = -19 + 8w Solving 23 + 15w = -19 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 23 + 15w + -8w = -19 + 8w + -8w Combine like terms: 15w + -8w = 7w 23 + 7w = -19 + 8w + -8w Combine like terms: 8w + -8w = 0 23 + 7w = -19 + 0 23 + 7w = -19 Add '-23' to each side of the equation. 23 + -23 + 7w = -19 + -23 Combine like terms: 23 + -23 = 0 0 + 7w = -19 + -23 7w = -19 + -23 Combine like terms: -19 + -23 = -42 7w = -42 Divide each side by '7'. w = -6 Simplifying w = -6
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