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