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Simplifying 3 + 7(w + 4) + 4 = 0 Reorder the terms: 3 + 7(4 + w) + 4 = 0 3 + (4 * 7 + w * 7) + 4 = 0 3 + (28 + 7w) + 4 = 0 Reorder the terms: 3 + 28 + 4 + 7w = 0 Combine like terms: 3 + 28 = 31 31 + 4 + 7w = 0 Combine like terms: 31 + 4 = 35 35 + 7w = 0 Solving 35 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7w = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 7w = 0 + -35 7w = 0 + -35 Combine like terms: 0 + -35 = -35 7w = -35 Divide each side by '7'. w = -5 Simplifying w = -5
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