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Simplifying 14w + 6 + 2 = 52 + 12w + 60 Reorder the terms: 6 + 2 + 14w = 52 + 12w + 60 Combine like terms: 6 + 2 = 8 8 + 14w = 52 + 12w + 60 Reorder the terms: 8 + 14w = 52 + 60 + 12w Combine like terms: 52 + 60 = 112 8 + 14w = 112 + 12w Solving 8 + 14w = 112 + 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. 8 + 14w + -12w = 112 + 12w + -12w Combine like terms: 14w + -12w = 2w 8 + 2w = 112 + 12w + -12w Combine like terms: 12w + -12w = 0 8 + 2w = 112 + 0 8 + 2w = 112 Add '-8' to each side of the equation. 8 + -8 + 2w = 112 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = 112 + -8 2w = 112 + -8 Combine like terms: 112 + -8 = 104 2w = 104 Divide each side by '2'. w = 52 Simplifying w = 52
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