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Simplifying 2 + 3(2w + 6) + 6w = 0 Reorder the terms: 2 + 3(6 + 2w) + 6w = 0 2 + (6 * 3 + 2w * 3) + 6w = 0 2 + (18 + 6w) + 6w = 0 Combine like terms: 2 + 18 = 20 20 + 6w + 6w = 0 Combine like terms: 6w + 6w = 12w 20 + 12w = 0 Solving 20 + 12w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 12w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 12w = 0 + -20 12w = 0 + -20 Combine like terms: 0 + -20 = -20 12w = -20 Divide each side by '12'. w = -1.666666667 Simplifying w = -1.666666667
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