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