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Simplifying 4.5w + 4.1 + 7.4w = 6.5 Reorder the terms: 4.1 + 4.5w + 7.4w = 6.5 Combine like terms: 4.5w + 7.4w = 11.9w 4.1 + 11.9w = 6.5 Solving 4.1 + 11.9w = 6.5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.1' to each side of the equation. 4.1 + -4.1 + 11.9w = 6.5 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 11.9w = 6.5 + -4.1 11.9w = 6.5 + -4.1 Combine like terms: 6.5 + -4.1 = 2.4 11.9w = 2.4 Divide each side by '11.9'. w = 0.2016806723 Simplifying w = 0.2016806723
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