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Simplifying 4(6 + 2.3w) + 7 = 63.2 (6 * 4 + 2.3w * 4) + 7 = 63.2 (24 + 9.2w) + 7 = 63.2 Reorder the terms: 24 + 7 + 9.2w = 63.2 Combine like terms: 24 + 7 = 31 31 + 9.2w = 63.2 Solving 31 + 9.2w = 63.2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 9.2w = 63.2 + -31 Combine like terms: 31 + -31 = 0 0 + 9.2w = 63.2 + -31 9.2w = 63.2 + -31 Combine like terms: 63.2 + -31 = 32.2 9.2w = 32.2 Divide each side by '9.2'. w = 3.5 Simplifying w = 3.5
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