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Simplifying 175 = 100(w) + 250(1 + -1w) 175 = 100w + (1 * 250 + -1w * 250) 175 = 100w + (250 + -250w) Reorder the terms: 175 = 250 + 100w + -250w Combine like terms: 100w + -250w = -150w 175 = 250 + -150w Solving 175 = 250 + -150w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '150w' to each side of the equation. 175 + 150w = 250 + -150w + 150w Combine like terms: -150w + 150w = 0 175 + 150w = 250 + 0 175 + 150w = 250 Add '-175' to each side of the equation. 175 + -175 + 150w = 250 + -175 Combine like terms: 175 + -175 = 0 0 + 150w = 250 + -175 150w = 250 + -175 Combine like terms: 250 + -175 = 75 150w = 75 Divide each side by '150'. w = 0.5 Simplifying w = 0.5
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