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Simplifying 12.50 + 7.25w = 32.50 + 5.25w Solving 12.50 + 7.25w = 32.50 + 5.25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5.25w' to each side of the equation. 12.50 + 7.25w + -5.25w = 32.50 + 5.25w + -5.25w Combine like terms: 7.25w + -5.25w = 2w 12.50 + 2w = 32.50 + 5.25w + -5.25w Combine like terms: 5.25w + -5.25w = 0.00 12.50 + 2w = 32.50 + 0.00 12.50 + 2w = 32.50 Add '-12.50' to each side of the equation. 12.50 + -12.50 + 2w = 32.50 + -12.50 Combine like terms: 12.50 + -12.50 = 0.00 0.00 + 2w = 32.50 + -12.50 2w = 32.50 + -12.50 Combine like terms: 32.50 + -12.50 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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