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Simplifying 4w + 36 = -15w + 24 + 5w Reorder the terms: 36 + 4w = -15w + 24 + 5w Reorder the terms: 36 + 4w = 24 + -15w + 5w Combine like terms: -15w + 5w = -10w 36 + 4w = 24 + -10w Solving 36 + 4w = 24 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 36 + 4w + 10w = 24 + -10w + 10w Combine like terms: 4w + 10w = 14w 36 + 14w = 24 + -10w + 10w Combine like terms: -10w + 10w = 0 36 + 14w = 24 + 0 36 + 14w = 24 Add '-36' to each side of the equation. 36 + -36 + 14w = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 14w = 24 + -36 14w = 24 + -36 Combine like terms: 24 + -36 = -12 14w = -12 Divide each side by '14'. w = -0.8571428571 Simplifying w = -0.8571428571
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