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Simplifying 4w + -14 = -5w Reorder the terms: -14 + 4w = -5w Solving -14 + 4w = -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. -14 + 4w + 5w = -5w + 5w Combine like terms: 4w + 5w = 9w -14 + 9w = -5w + 5w Combine like terms: -5w + 5w = 0 -14 + 9w = 0 Add '14' to each side of the equation. -14 + 14 + 9w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 9w = 0 + 14 9w = 0 + 14 Combine like terms: 0 + 14 = 14 9w = 14 Divide each side by '9'. w = 1.555555556 Simplifying w = 1.555555556
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