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Simplifying (-1) + 19w = 11w + 23 -1 + 19w = 11w + 23 Reorder the terms: -1 + 19w = 23 + 11w Solving -1 + 19w = 23 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -1 + 19w + -11w = 23 + 11w + -11w Combine like terms: 19w + -11w = 8w -1 + 8w = 23 + 11w + -11w Combine like terms: 11w + -11w = 0 -1 + 8w = 23 + 0 -1 + 8w = 23 Add '1' to each side of the equation. -1 + 1 + 8w = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 8w = 23 + 1 8w = 23 + 1 Combine like terms: 23 + 1 = 24 8w = 24 Divide each side by '8'. w = 3 Simplifying w = 3
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