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Simplifying 9w + -4 + 2w + 9 + -5w = 41 Reorder the terms: -4 + 9 + 9w + 2w + -5w = 41 Combine like terms: -4 + 9 = 5 5 + 9w + 2w + -5w = 41 Combine like terms: 9w + 2w = 11w 5 + 11w + -5w = 41 Combine like terms: 11w + -5w = 6w 5 + 6w = 41 Solving 5 + 6w = 41 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6w = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 6w = 41 + -5 6w = 41 + -5 Combine like terms: 41 + -5 = 36 6w = 36 Divide each side by '6'. w = 6 Simplifying w = 6
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