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Simplifying 14 = 8w + 15(1 + -1w) 14 = 8w + (1 * 15 + -1w * 15) 14 = 8w + (15 + -15w) Reorder the terms: 14 = 15 + 8w + -15w Combine like terms: 8w + -15w = -7w 14 = 15 + -7w Solving 14 = 15 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 14 + 7w = 15 + -7w + 7w Combine like terms: -7w + 7w = 0 14 + 7w = 15 + 0 14 + 7w = 15 Add '-14' to each side of the equation. 14 + -14 + 7w = 15 + -14 Combine like terms: 14 + -14 = 0 0 + 7w = 15 + -14 7w = 15 + -14 Combine like terms: 15 + -14 = 1 7w = 1 Divide each side by '7'. w = 0.1428571429 Simplifying w = 0.1428571429
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