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Simplifying 3w + 5 + -7w + 9w + -11w + 13 = 16 + -8w Reorder the terms: 5 + 13 + 3w + -7w + 9w + -11w = 16 + -8w Combine like terms: 5 + 13 = 18 18 + 3w + -7w + 9w + -11w = 16 + -8w Combine like terms: 3w + -7w = -4w 18 + -4w + 9w + -11w = 16 + -8w Combine like terms: -4w + 9w = 5w 18 + 5w + -11w = 16 + -8w Combine like terms: 5w + -11w = -6w 18 + -6w = 16 + -8w Solving 18 + -6w = 16 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 18 + -6w + 8w = 16 + -8w + 8w Combine like terms: -6w + 8w = 2w 18 + 2w = 16 + -8w + 8w Combine like terms: -8w + 8w = 0 18 + 2w = 16 + 0 18 + 2w = 16 Add '-18' to each side of the equation. 18 + -18 + 2w = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 2w = 16 + -18 2w = 16 + -18 Combine like terms: 16 + -18 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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