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Simplifying 5w + 3w + w + -7w + -1 = 17 Reorder the terms: -1 + 5w + 3w + w + -7w = 17 Combine like terms: 5w + 3w = 8w -1 + 8w + w + -7w = 17 Combine like terms: 8w + w = 9w -1 + 9w + -7w = 17 Combine like terms: 9w + -7w = 2w -1 + 2w = 17 Solving -1 + 2w = 17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2w = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 2w = 17 + 1 2w = 17 + 1 Combine like terms: 17 + 1 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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