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Simplifying -2w + 14w + 3 = 8w + 27 Reorder the terms: 3 + -2w + 14w = 8w + 27 Combine like terms: -2w + 14w = 12w 3 + 12w = 8w + 27 Reorder the terms: 3 + 12w = 27 + 8w Solving 3 + 12w = 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. 3 + 12w + -8w = 27 + 8w + -8w Combine like terms: 12w + -8w = 4w 3 + 4w = 27 + 8w + -8w Combine like terms: 8w + -8w = 0 3 + 4w = 27 + 0 3 + 4w = 27 Add '-3' to each side of the equation. 3 + -3 + 4w = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 27 + -3 4w = 27 + -3 Combine like terms: 27 + -3 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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