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Simplifying 6(-2 + 4xy + 2w) = 0 Reorder the terms: 6(-2 + 2w + 4xy) = 0 (-2 * 6 + 2w * 6 + 4xy * 6) = 0 (-12 + 12w + 24xy) = 0 Solving -12 + 12w + 24xy = 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 + 12w + 12 + 24xy = 0 + 12 Reorder the terms: -12 + 12 + 12w + 24xy = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12w + 24xy = 0 + 12 12w + 24xy = 0 + 12 Combine like terms: 0 + 12 = 12 12w + 24xy = 12 Add '-24xy' to each side of the equation. 12w + 24xy + -24xy = 12 + -24xy Combine like terms: 24xy + -24xy = 0 12w + 0 = 12 + -24xy 12w = 12 + -24xy Divide each side by '12'. w = 1 + -2xy Simplifying w = 1 + -2xy
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