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Simplifying 4 + 7(w + 3) + w = 0 Reorder the terms: 4 + 7(3 + w) + w = 0 4 + (3 * 7 + w * 7) + w = 0 4 + (21 + 7w) + w = 0 Combine like terms: 4 + 21 = 25 25 + 7w + w = 0 Combine like terms: 7w + w = 8w 25 + 8w = 0 Solving 25 + 8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 8w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8w = 0 + -25 8w = 0 + -25 Combine like terms: 0 + -25 = -25 8w = -25 Divide each side by '8'. w = -3.125 Simplifying w = -3.125
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