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Simplifying -4w + 17 + -3w + -3 + 9w = -5 Reorder the terms: 17 + -3 + -4w + -3w + 9w = -5 Combine like terms: 17 + -3 = 14 14 + -4w + -3w + 9w = -5 Combine like terms: -4w + -3w = -7w 14 + -7w + 9w = -5 Combine like terms: -7w + 9w = 2w 14 + 2w = -5 Solving 14 + 2w = -5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2w = -5 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = -5 + -14 2w = -5 + -14 Combine like terms: -5 + -14 = -19 2w = -19 Divide each side by '2'. w = -9.5 Simplifying w = -9.5
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