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Simplifying -3w + 6 = 8w + 9 + -2 Reorder the terms: 6 + -3w = 8w + 9 + -2 Reorder the terms: 6 + -3w = 9 + -2 + 8w Combine like terms: 9 + -2 = 7 6 + -3w = 7 + 8w Solving 6 + -3w = 7 + 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. 6 + -3w + -8w = 7 + 8w + -8w Combine like terms: -3w + -8w = -11w 6 + -11w = 7 + 8w + -8w Combine like terms: 8w + -8w = 0 6 + -11w = 7 + 0 6 + -11w = 7 Add '-6' to each side of the equation. 6 + -6 + -11w = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -11w = 7 + -6 -11w = 7 + -6 Combine like terms: 7 + -6 = 1 -11w = 1 Divide each side by '-11'. w = -0.09090909091 Simplifying w = -0.09090909091
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