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Simplifying -9(-2w + 3x + -6) = 0 Reorder the terms: -9(-6 + -2w + 3x) = 0 (-6 * -9 + -2w * -9 + 3x * -9) = 0 (54 + 18w + -27x) = 0 Solving 54 + 18w + -27x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + 18w + -54 + -27x = 0 + -54 Reorder the terms: 54 + -54 + 18w + -27x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 18w + -27x = 0 + -54 18w + -27x = 0 + -54 Combine like terms: 0 + -54 = -54 18w + -27x = -54 Add '27x' to each side of the equation. 18w + -27x + 27x = -54 + 27x Combine like terms: -27x + 27x = 0 18w + 0 = -54 + 27x 18w = -54 + 27x Divide each side by '18'. w = -3 + 1.5x Simplifying w = -3 + 1.5x
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