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Simplifying 3 + 7(w + 4) + w = 0 Reorder the terms: 3 + 7(4 + w) + w = 0 3 + (4 * 7 + w * 7) + w = 0 3 + (28 + 7w) + w = 0 Combine like terms: 3 + 28 = 31 31 + 7w + w = 0 Combine like terms: 7w + w = 8w 31 + 8w = 0 Solving 31 + 8w = 0 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 + 8w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 8w = 0 + -31 8w = 0 + -31 Combine like terms: 0 + -31 = -31 8w = -31 Divide each side by '8'. w = -3.875 Simplifying w = -3.875
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