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Simplifying 14w + 2 = 12w + 20 Reorder the terms: 2 + 14w = 12w + 20 Reorder the terms: 2 + 14w = 20 + 12w Solving 2 + 14w = 20 + 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. 2 + 14w + -12w = 20 + 12w + -12w Combine like terms: 14w + -12w = 2w 2 + 2w = 20 + 12w + -12w Combine like terms: 12w + -12w = 0 2 + 2w = 20 + 0 2 + 2w = 20 Add '-2' to each side of the equation. 2 + -2 + 2w = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = 20 + -2 2w = 20 + -2 Combine like terms: 20 + -2 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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