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Simplifying 14w + 3 = 4w + -7 Reorder the terms: 3 + 14w = 4w + -7 Reorder the terms: 3 + 14w = -7 + 4w Solving 3 + 14w = -7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 3 + 14w + -4w = -7 + 4w + -4w Combine like terms: 14w + -4w = 10w 3 + 10w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 3 + 10w = -7 + 0 3 + 10w = -7 Add '-3' to each side of the equation. 3 + -3 + 10w = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 10w = -7 + -3 10w = -7 + -3 Combine like terms: -7 + -3 = -10 10w = -10 Divide each side by '10'. w = -1 Simplifying w = -1
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