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Simplifying z = m(2 + -3i) + -2m(4 + i) + m2 z = (2 * m + -3i * m) + -2m(4 + i) + m2 Reorder the terms: z = (-3im + 2m) + -2m(4 + i) + m2 z = (-3im + 2m) + -2m(4 + i) + m2 z = -3im + 2m + (4 * -2m + i * -2m) + m2 Reorder the terms: z = -3im + 2m + (-2im + -8m) + m2 z = -3im + 2m + (-2im + -8m) + m2 Reorder the terms: z = -3im + -2im + 2m + -8m + m2 Combine like terms: -3im + -2im = -5im z = -5im + 2m + -8m + m2 Combine like terms: 2m + -8m = -6m z = -5im + -6m + m2 Solving z = -5im + -6m + m2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Simplifying z = -5im + -6m + m2
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