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Simplifying 9w + 5(35 + -1w) = 287 9w + (35 * 5 + -1w * 5) = 287 9w + (175 + -5w) = 287 Reorder the terms: 175 + 9w + -5w = 287 Combine like terms: 9w + -5w = 4w 175 + 4w = 287 Solving 175 + 4w = 287 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-175' to each side of the equation. 175 + -175 + 4w = 287 + -175 Combine like terms: 175 + -175 = 0 0 + 4w = 287 + -175 4w = 287 + -175 Combine like terms: 287 + -175 = 112 4w = 112 Divide each side by '4'. w = 28 Simplifying w = 28
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