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Simplifying 18 + -5w + 7w + -4 = 28 Reorder the terms: 18 + -4 + -5w + 7w = 28 Combine like terms: 18 + -4 = 14 14 + -5w + 7w = 28 Combine like terms: -5w + 7w = 2w 14 + 2w = 28 Solving 14 + 2w = 28 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 = 28 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 28 + -14 2w = 28 + -14 Combine like terms: 28 + -14 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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