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Simplifying 2 + z + -1i = -3z Reorder the terms: 2 + -1i + z = -3z Solving 2 + -1i + z = -3z Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1i + -2 + z = -2 + -3z Reorder the terms: 2 + -2 + -1i + z = -2 + -3z Combine like terms: 2 + -2 = 0 0 + -1i + z = -2 + -3z -1i + z = -2 + -3z Add '-1z' to each side of the equation. -1i + z + -1z = -2 + -3z + -1z Combine like terms: z + -1z = 0 -1i + 0 = -2 + -3z + -1z -1i = -2 + -3z + -1z Combine like terms: -3z + -1z = -4z -1i = -2 + -4z Divide each side by '-1'. i = 2 + 4z Simplifying i = 2 + 4z
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