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Simplifying z2 + (4 + -6i) + -26 + -32i = 0 Remove parenthesis around (4 + -6i) z2 + 4 + -6i + -26 + -32i = 0 Reorder the terms: 4 + -26 + -6i + -32i + z2 = 0 Combine like terms: 4 + -26 = -22 -22 + -6i + -32i + z2 = 0 Combine like terms: -6i + -32i = -38i -22 + -38i + z2 = 0 Solving -22 + -38i + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '22' to each side of the equation. -22 + -38i + 22 + z2 = 0 + 22 Reorder the terms: -22 + 22 + -38i + z2 = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -38i + z2 = 0 + 22 -38i + z2 = 0 + 22 Combine like terms: 0 + 22 = 22 -38i + z2 = 22 Add '-1z2' to each side of the equation. -38i + z2 + -1z2 = 22 + -1z2 Combine like terms: z2 + -1z2 = 0 -38i + 0 = 22 + -1z2 -38i = 22 + -1z2 Divide each side by '-38'. i = -0.5789473684 + 0.02631578947z2 Simplifying i = -0.5789473684 + 0.02631578947z2
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