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Simplifying 4 + 7(w + 4) + w = 0 Reorder the terms: 4 + 7(4 + w) + w = 0 4 + (4 * 7 + w * 7) + w = 0 4 + (28 + 7w) + w = 0 Combine like terms: 4 + 28 = 32 32 + 7w + w = 0 Combine like terms: 7w + w = 8w 32 + 8w = 0 Solving 32 + 8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 8w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8w = 0 + -32 8w = 0 + -32 Combine like terms: 0 + -32 = -32 8w = -32 Divide each side by '8'. w = -4 Simplifying w = -4
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