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Simplifying 14w + 52 = 12w + 43 Reorder the terms: 52 + 14w = 12w + 43 Reorder the terms: 52 + 14w = 43 + 12w Solving 52 + 14w = 43 + 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. 52 + 14w + -12w = 43 + 12w + -12w Combine like terms: 14w + -12w = 2w 52 + 2w = 43 + 12w + -12w Combine like terms: 12w + -12w = 0 52 + 2w = 43 + 0 52 + 2w = 43 Add '-52' to each side of the equation. 52 + -52 + 2w = 43 + -52 Combine like terms: 52 + -52 = 0 0 + 2w = 43 + -52 2w = 43 + -52 Combine like terms: 43 + -52 = -9 2w = -9 Divide each side by '2'. w = -4.5 Simplifying w = -4.5
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