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Simplifying 3 + 7(w + 2) + w = 0 Reorder the terms: 3 + 7(2 + w) + w = 0 3 + (2 * 7 + w * 7) + w = 0 3 + (14 + 7w) + w = 0 Combine like terms: 3 + 14 = 17 17 + 7w + w = 0 Combine like terms: 7w + w = 8w 17 + 8w = 0 Solving 17 + 8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 8w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8w = 0 + -17 8w = 0 + -17 Combine like terms: 0 + -17 = -17 8w = -17 Divide each side by '8'. w = -2.125 Simplifying w = -2.125
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