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Simplifying 14w + 8 = 5w + 20 Reorder the terms: 8 + 14w = 5w + 20 Reorder the terms: 8 + 14w = 20 + 5w Solving 8 + 14w = 20 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 8 + 14w + -5w = 20 + 5w + -5w Combine like terms: 14w + -5w = 9w 8 + 9w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + 9w = 20 + 0 8 + 9w = 20 Add '-8' to each side of the equation. 8 + -8 + 9w = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 9w = 20 + -8 9w = 20 + -8 Combine like terms: 20 + -8 = 12 9w = 12 Divide each side by '9'. w = 1.333333333 Simplifying w = 1.333333333
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