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Simplifying 4w + 7 = -10w + 37 Reorder the terms: 7 + 4w = -10w + 37 Reorder the terms: 7 + 4w = 37 + -10w Solving 7 + 4w = 37 + -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. 7 + 4w + 10w = 37 + -10w + 10w Combine like terms: 4w + 10w = 14w 7 + 14w = 37 + -10w + 10w Combine like terms: -10w + 10w = 0 7 + 14w = 37 + 0 7 + 14w = 37 Add '-7' to each side of the equation. 7 + -7 + 14w = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 14w = 37 + -7 14w = 37 + -7 Combine like terms: 37 + -7 = 30 14w = 30 Divide each side by '14'. w = 2.142857143 Simplifying w = 2.142857143
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