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Simplifying 11w + 4 + 8w = 8w + 15 Reorder the terms: 4 + 11w + 8w = 8w + 15 Combine like terms: 11w + 8w = 19w 4 + 19w = 8w + 15 Reorder the terms: 4 + 19w = 15 + 8w Solving 4 + 19w = 15 + 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. 4 + 19w + -8w = 15 + 8w + -8w Combine like terms: 19w + -8w = 11w 4 + 11w = 15 + 8w + -8w Combine like terms: 8w + -8w = 0 4 + 11w = 15 + 0 4 + 11w = 15 Add '-4' to each side of the equation. 4 + -4 + 11w = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 11w = 15 + -4 11w = 15 + -4 Combine like terms: 15 + -4 = 11 11w = 11 Divide each side by '11'. w = 1 Simplifying w = 1
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