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Simplifying 9w + 1 + 3(w + 2) = 0 Reorder the terms: 9w + 1 + 3(2 + w) = 0 9w + 1 + (2 * 3 + w * 3) = 0 9w + 1 + (6 + 3w) = 0 Reorder the terms: 1 + 6 + 9w + 3w = 0 Combine like terms: 1 + 6 = 7 7 + 9w + 3w = 0 Combine like terms: 9w + 3w = 12w 7 + 12w = 0 Solving 7 + 12w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 12w = 0 + -7 12w = 0 + -7 Combine like terms: 0 + -7 = -7 12w = -7 Divide each side by '12'. w = -0.5833333333 Simplifying w = -0.5833333333
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