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Simplifying 9w + -6 = -2w + 12 Reorder the terms: -6 + 9w = -2w + 12 Reorder the terms: -6 + 9w = 12 + -2w Solving -6 + 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. -6 + 9w + 2w = 12 + -2w + 2w Combine like terms: 9w + 2w = 11w -6 + 11w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 -6 + 11w = 12 + 0 -6 + 11w = 12 Add '6' to each side of the equation. -6 + 6 + 11w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 11w = 12 + 6 11w = 12 + 6 Combine like terms: 12 + 6 = 18 11w = 18 Divide each side by '11'. w = 1.636363636 Simplifying w = 1.636363636
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