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Simplifying 7w + 6 + 11w + -2 + -5w + 5 = 3w + 10 + 8w + 7 + 4 + -2w Reorder the terms: 6 + -2 + 5 + 7w + 11w + -5w = 3w + 10 + 8w + 7 + 4 + -2w Combine like terms: 6 + -2 = 4 4 + 5 + 7w + 11w + -5w = 3w + 10 + 8w + 7 + 4 + -2w Combine like terms: 4 + 5 = 9 9 + 7w + 11w + -5w = 3w + 10 + 8w + 7 + 4 + -2w Combine like terms: 7w + 11w = 18w 9 + 18w + -5w = 3w + 10 + 8w + 7 + 4 + -2w Combine like terms: 18w + -5w = 13w 9 + 13w = 3w + 10 + 8w + 7 + 4 + -2w Reorder the terms: 9 + 13w = 10 + 7 + 4 + 3w + 8w + -2w Combine like terms: 10 + 7 = 17 9 + 13w = 17 + 4 + 3w + 8w + -2w Combine like terms: 17 + 4 = 21 9 + 13w = 21 + 3w + 8w + -2w Combine like terms: 3w + 8w = 11w 9 + 13w = 21 + 11w + -2w Combine like terms: 11w + -2w = 9w 9 + 13w = 21 + 9w Solving 9 + 13w = 21 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 9 + 13w + -9w = 21 + 9w + -9w Combine like terms: 13w + -9w = 4w 9 + 4w = 21 + 9w + -9w Combine like terms: 9w + -9w = 0 9 + 4w = 21 + 0 9 + 4w = 21 Add '-9' to each side of the equation. 9 + -9 + 4w = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 4w = 21 + -9 4w = 21 + -9 Combine like terms: 21 + -9 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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