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Simplifying 5 + 6(w + 2) + w = 0 Reorder the terms: 5 + 6(2 + w) + w = 0 5 + (2 * 6 + w * 6) + w = 0 5 + (12 + 6w) + w = 0 Combine like terms: 5 + 12 = 17 17 + 6w + w = 0 Combine like terms: 6w + w = 7w 17 + 7w = 0 Solving 17 + 7w = 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 + 7w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7w = 0 + -17 7w = 0 + -17 Combine like terms: 0 + -17 = -17 7w = -17 Divide each side by '7'. w = -2.428571429 Simplifying w = -2.428571429
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