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Simplifying z3 + -1i * z2 + 9z + -18 = 0 Multiply i * z2 z3 + -1iz2 + 9z + -18 = 0 Reorder the terms: -18 + -1iz2 + 9z + z3 = 0 Solving -18 + -1iz2 + 9z + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -1iz2 + 9z + 18 + z3 = 0 + 18 Reorder the terms: -18 + 18 + -1iz2 + 9z + z3 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1iz2 + 9z + z3 = 0 + 18 -1iz2 + 9z + z3 = 0 + 18 Combine like terms: 0 + 18 = 18 -1iz2 + 9z + z3 = 18 Add '-9z' to each side of the equation. -1iz2 + 9z + -9z + z3 = 18 + -9z Combine like terms: 9z + -9z = 0 -1iz2 + 0 + z3 = 18 + -9z -1iz2 + z3 = 18 + -9z Add '-1z3' to each side of the equation. -1iz2 + z3 + -1z3 = 18 + -9z + -1z3 Combine like terms: z3 + -1z3 = 0 -1iz2 + 0 = 18 + -9z + -1z3 -1iz2 = 18 + -9z + -1z3 Divide each side by '-1z2'. i = -18z-2 + 9z-1 + z Simplifying i = -18z-2 + 9z-1 + z
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