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Simplifying z + -1z + -1 = 5 + -12i Reorder the terms: -1 + z + -1z = 5 + -12i Combine like terms: z + -1z = 0 -1 + 0 = 5 + -12i -1 = 5 + -12i Solving -1 = 5 + -12i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12i' to each side of the equation. -1 + 12i = 5 + -12i + 12i Combine like terms: -12i + 12i = 0 -1 + 12i = 5 + 0 -1 + 12i = 5 Add '1' to each side of the equation. -1 + 1 + 12i = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 12i = 5 + 1 12i = 5 + 1 Combine like terms: 5 + 1 = 6 12i = 6 Divide each side by '12'. i = 0.5 Simplifying i = 0.5
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