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Simplifying 23 + 18w = -21 + 14w Solving 23 + 18w = -21 + 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. 23 + 18w + -14w = -21 + 14w + -14w Combine like terms: 18w + -14w = 4w 23 + 4w = -21 + 14w + -14w Combine like terms: 14w + -14w = 0 23 + 4w = -21 + 0 23 + 4w = -21 Add '-23' to each side of the equation. 23 + -23 + 4w = -21 + -23 Combine like terms: 23 + -23 = 0 0 + 4w = -21 + -23 4w = -21 + -23 Combine like terms: -21 + -23 = -44 4w = -44 Divide each side by '4'. w = -11 Simplifying w = -11
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