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Simplifying -3(w + -6) + 9w + 2 = 0 Reorder the terms: -3(-6 + w) + 9w + 2 = 0 (-6 * -3 + w * -3) + 9w + 2 = 0 (18 + -3w) + 9w + 2 = 0 Reorder the terms: 18 + 2 + -3w + 9w = 0 Combine like terms: 18 + 2 = 20 20 + -3w + 9w = 0 Combine like terms: -3w + 9w = 6w 20 + 6w = 0 Solving 20 + 6w = 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 + 6w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6w = 0 + -20 6w = 0 + -20 Combine like terms: 0 + -20 = -20 6w = -20 Divide each side by '6'. w = -3.333333333 Simplifying w = -3.333333333
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