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Simplifying 31 + -4w = 10w + -10 Reorder the terms: 31 + -4w = -10 + 10w Solving 31 + -4w = -10 + 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. 31 + -4w + -10w = -10 + 10w + -10w Combine like terms: -4w + -10w = -14w 31 + -14w = -10 + 10w + -10w Combine like terms: 10w + -10w = 0 31 + -14w = -10 + 0 31 + -14w = -10 Add '-31' to each side of the equation. 31 + -31 + -14w = -10 + -31 Combine like terms: 31 + -31 = 0 0 + -14w = -10 + -31 -14w = -10 + -31 Combine like terms: -10 + -31 = -41 -14w = -41 Divide each side by '-14'. w = 2.928571429 Simplifying w = 2.928571429
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