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Simplifying 5w + 8 = 14w + -28 Reorder the terms: 8 + 5w = 14w + -28 Reorder the terms: 8 + 5w = -28 + 14w Solving 8 + 5w = -28 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 8 + 5w + -14w = -28 + 14w + -14w Combine like terms: 5w + -14w = -9w 8 + -9w = -28 + 14w + -14w Combine like terms: 14w + -14w = 0 8 + -9w = -28 + 0 8 + -9w = -28 Add '-8' to each side of the equation. 8 + -8 + -9w = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -9w = -28 + -8 -9w = -28 + -8 Combine like terms: -28 + -8 = -36 -9w = -36 Divide each side by '-9'. w = 4 Simplifying w = 4
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