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Simplifying 3w + 2 + -1w = 11w + 9 Reorder the terms: 2 + 3w + -1w = 11w + 9 Combine like terms: 3w + -1w = 2w 2 + 2w = 11w + 9 Reorder the terms: 2 + 2w = 9 + 11w Solving 2 + 2w = 9 + 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. 2 + 2w + -11w = 9 + 11w + -11w Combine like terms: 2w + -11w = -9w 2 + -9w = 9 + 11w + -11w Combine like terms: 11w + -11w = 0 2 + -9w = 9 + 0 2 + -9w = 9 Add '-2' to each side of the equation. 2 + -2 + -9w = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -9w = 9 + -2 -9w = 9 + -2 Combine like terms: 9 + -2 = 7 -9w = 7 Divide each side by '-9'. w = -0.7777777778 Simplifying w = -0.7777777778
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