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Simplifying -8 + 5w + -2w + 8 = 9w + -6 Reorder the terms: -8 + 8 + 5w + -2w = 9w + -6 Combine like terms: -8 + 8 = 0 0 + 5w + -2w = 9w + -6 5w + -2w = 9w + -6 Combine like terms: 5w + -2w = 3w 3w = 9w + -6 Reorder the terms: 3w = -6 + 9w Solving 3w = -6 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 3w + -9w = -6 + 9w + -9w Combine like terms: 3w + -9w = -6w -6w = -6 + 9w + -9w Combine like terms: 9w + -9w = 0 -6w = -6 + 0 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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