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Simplifying 7.8 + 3.5w + -1.5 = 6.8 Reorder the terms: 7.8 + -1.5 + 3.5w = 6.8 Combine like terms: 7.8 + -1.5 = 6.3 6.3 + 3.5w = 6.8 Solving 6.3 + 3.5w = 6.8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6.3' to each side of the equation. 6.3 + -6.3 + 3.5w = 6.8 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + 3.5w = 6.8 + -6.3 3.5w = 6.8 + -6.3 Combine like terms: 6.8 + -6.3 = 0.5 3.5w = 0.5 Divide each side by '3.5'. w = 0.1428571429 Simplifying w = 0.1428571429
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