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Simplifying z6 + 2z3 + -6iz3 = 11 + 2i Reorder the terms: -6iz3 + 2z3 + z6 = 11 + 2i Solving -6iz3 + 2z3 + z6 = 11 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. -6iz3 + 2z3 + -2i + z6 = 11 + 2i + -2i Reorder the terms: -2i + -6iz3 + 2z3 + z6 = 11 + 2i + -2i Combine like terms: 2i + -2i = 0 -2i + -6iz3 + 2z3 + z6 = 11 + 0 -2i + -6iz3 + 2z3 + z6 = 11 Add '-2z3' to each side of the equation. -2i + -6iz3 + 2z3 + -2z3 + z6 = 11 + -2z3 Combine like terms: 2z3 + -2z3 = 0 -2i + -6iz3 + 0 + z6 = 11 + -2z3 -2i + -6iz3 + z6 = 11 + -2z3 Add '-1z6' to each side of the equation. -2i + -6iz3 + z6 + -1z6 = 11 + -2z3 + -1z6 Combine like terms: z6 + -1z6 = 0 -2i + -6iz3 + 0 = 11 + -2z3 + -1z6 -2i + -6iz3 = 11 + -2z3 + -1z6 Reorder the terms: -11 + -2i + -6iz3 + 2z3 + z6 = 11 + -2z3 + -1z6 + -11 + 2z3 + z6 Reorder the terms: -11 + -2i + -6iz3 + 2z3 + z6 = 11 + -11 + -2z3 + 2z3 + -1z6 + z6 Combine like terms: 11 + -11 = 0 -11 + -2i + -6iz3 + 2z3 + z6 = 0 + -2z3 + 2z3 + -1z6 + z6 -11 + -2i + -6iz3 + 2z3 + z6 = -2z3 + 2z3 + -1z6 + z6 Combine like terms: -2z3 + 2z3 = 0 -11 + -2i + -6iz3 + 2z3 + z6 = 0 + -1z6 + z6 -11 + -2i + -6iz3 + 2z3 + z6 = -1z6 + z6 Combine like terms: -1z6 + z6 = 0 -11 + -2i + -6iz3 + 2z3 + z6 = 0 The solution to this equation could not be determined.
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