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Simplifying -9w + 23 = 2(w + 6) Reorder the terms: 23 + -9w = 2(w + 6) Reorder the terms: 23 + -9w = 2(6 + w) 23 + -9w = (6 * 2 + w * 2) 23 + -9w = (12 + 2w) Solving 23 + -9w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 23 + -9w + -2w = 12 + 2w + -2w Combine like terms: -9w + -2w = -11w 23 + -11w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 23 + -11w = 12 + 0 23 + -11w = 12 Add '-23' to each side of the equation. 23 + -23 + -11w = 12 + -23 Combine like terms: 23 + -23 = 0 0 + -11w = 12 + -23 -11w = 12 + -23 Combine like terms: 12 + -23 = -11 -11w = -11 Divide each side by '-11'. w = 1 Simplifying w = 1
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