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Simplifying z2 + (2i + -3) + (5 + -1i) = 0 Reorder the terms: z2 + (-3 + 2i) + (5 + -1i) = 0 Remove parenthesis around (-3 + 2i) z2 + -3 + 2i + (5 + -1i) = 0 Remove parenthesis around (5 + -1i) z2 + -3 + 2i + 5 + -1i = 0 Reorder the terms: -3 + 5 + 2i + -1i + z2 = 0 Combine like terms: -3 + 5 = 2 2 + 2i + -1i + z2 = 0 Combine like terms: 2i + -1i = 1i 2 + 1i + z2 = 0 Solving 2 + 1i + z2 = 0 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 + z2 = 0 + -2 Reorder the terms: 2 + -2 + 1i + z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1i + z2 = 0 + -2 1i + z2 = 0 + -2 Combine like terms: 0 + -2 = -2 1i + z2 = -2 Add '-1z2' to each side of the equation. 1i + z2 + -1z2 = -2 + -1z2 Combine like terms: z2 + -1z2 = 0 1i + 0 = -2 + -1z2 1i = -2 + -1z2 Divide each side by '1'. i = -2 + -1z2 Simplifying i = -2 + -1z2
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