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Simplifying -2 + 14w + 3 = 8w + 27 Reorder the terms: -2 + 3 + 14w = 8w + 27 Combine like terms: -2 + 3 = 1 1 + 14w = 8w + 27 Reorder the terms: 1 + 14w = 27 + 8w Solving 1 + 14w = 27 + 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. 1 + 14w + -8w = 27 + 8w + -8w Combine like terms: 14w + -8w = 6w 1 + 6w = 27 + 8w + -8w Combine like terms: 8w + -8w = 0 1 + 6w = 27 + 0 1 + 6w = 27 Add '-1' to each side of the equation. 1 + -1 + 6w = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 6w = 27 + -1 6w = 27 + -1 Combine like terms: 27 + -1 = 26 6w = 26 Divide each side by '6'. w = 4.333333333 Simplifying w = 4.333333333
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