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Simplifying w + 7(w + 2) + 3(w + 4) = 180 Reorder the terms: w + 7(2 + w) + 3(w + 4) = 180 w + (2 * 7 + w * 7) + 3(w + 4) = 180 w + (14 + 7w) + 3(w + 4) = 180 Reorder the terms: w + 14 + 7w + 3(4 + w) = 180 w + 14 + 7w + (4 * 3 + w * 3) = 180 w + 14 + 7w + (12 + 3w) = 180 Reorder the terms: 14 + 12 + w + 7w + 3w = 180 Combine like terms: 14 + 12 = 26 26 + w + 7w + 3w = 180 Combine like terms: w + 7w = 8w 26 + 8w + 3w = 180 Combine like terms: 8w + 3w = 11w 26 + 11w = 180 Solving 26 + 11w = 180 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 11w = 180 + -26 Combine like terms: 26 + -26 = 0 0 + 11w = 180 + -26 11w = 180 + -26 Combine like terms: 180 + -26 = 154 11w = 154 Divide each side by '11'. w = 14 Simplifying w = 14
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