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Simplifying 3 + 6(w + 2) + w = 0 Reorder the terms: 3 + 6(2 + w) + w = 0 3 + (2 * 6 + w * 6) + w = 0 3 + (12 + 6w) + w = 0 Combine like terms: 3 + 12 = 15 15 + 6w + w = 0 Combine like terms: 6w + w = 7w 15 + 7w = 0 Solving 15 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7w = 0 + -15 7w = 0 + -15 Combine like terms: 0 + -15 = -15 7w = -15 Divide each side by '7'. w = -2.142857143 Simplifying w = -2.142857143
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