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Simplifying -3w + 6 = 8w + 9 + -2w Reorder the terms: 6 + -3w = 8w + 9 + -2w Reorder the terms: 6 + -3w = 9 + 8w + -2w Combine like terms: 8w + -2w = 6w 6 + -3w = 9 + 6w Solving 6 + -3w = 9 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 6 + -3w + -6w = 9 + 6w + -6w Combine like terms: -3w + -6w = -9w 6 + -9w = 9 + 6w + -6w Combine like terms: 6w + -6w = 0 6 + -9w = 9 + 0 6 + -9w = 9 Add '-6' to each side of the equation. 6 + -6 + -9w = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -9w = 9 + -6 -9w = 9 + -6 Combine like terms: 9 + -6 = 3 -9w = 3 Divide each side by '-9'. w = -0.3333333333 Simplifying w = -0.3333333333
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