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Simplifying 14w + 41 = 12w + 71 Reorder the terms: 41 + 14w = 12w + 71 Reorder the terms: 41 + 14w = 71 + 12w Solving 41 + 14w = 71 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 41 + 14w + -12w = 71 + 12w + -12w Combine like terms: 14w + -12w = 2w 41 + 2w = 71 + 12w + -12w Combine like terms: 12w + -12w = 0 41 + 2w = 71 + 0 41 + 2w = 71 Add '-41' to each side of the equation. 41 + -41 + 2w = 71 + -41 Combine like terms: 41 + -41 = 0 0 + 2w = 71 + -41 2w = 71 + -41 Combine like terms: 71 + -41 = 30 2w = 30 Divide each side by '2'. w = 15 Simplifying w = 15
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