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Simplifying 17 + 19w = 8w + -16 Reorder the terms: 17 + 19w = -16 + 8w Solving 17 + 19w = -16 + 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. 17 + 19w + -8w = -16 + 8w + -8w Combine like terms: 19w + -8w = 11w 17 + 11w = -16 + 8w + -8w Combine like terms: 8w + -8w = 0 17 + 11w = -16 + 0 17 + 11w = -16 Add '-17' to each side of the equation. 17 + -17 + 11w = -16 + -17 Combine like terms: 17 + -17 = 0 0 + 11w = -16 + -17 11w = -16 + -17 Combine like terms: -16 + -17 = -33 11w = -33 Divide each side by '11'. w = -3 Simplifying w = -3
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