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Simplifying 3a + (4b + -2) * I = 9 + -6i Reorder the terms: 3a + (-2 + 4b) * I = 9 + -6i Reorder the terms for easier multiplication: 3a + I(-2 + 4b) = 9 + -6i 3a + (-2 * I + 4b * I) = 9 + -6i 3a + (-2I + 4bI) = 9 + -6i Reorder the terms: -2I + 3a + 4bI = 9 + -6i Solving -2I + 3a + 4bI = 9 + -6i Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-3a' to each side of the equation. -2I + 3a + -3a + 4bI = 9 + -3a + -6i Combine like terms: 3a + -3a = 0 -2I + 0 + 4bI = 9 + -3a + -6i -2I + 4bI = 9 + -3a + -6i Reorder the terms: -9 + -2I + 3a + 4bI + 6i = 9 + -3a + -6i + -9 + 3a + 6i Reorder the terms: -9 + -2I + 3a + 4bI + 6i = 9 + -9 + -3a + 3a + -6i + 6i Combine like terms: 9 + -9 = 0 -9 + -2I + 3a + 4bI + 6i = 0 + -3a + 3a + -6i + 6i -9 + -2I + 3a + 4bI + 6i = -3a + 3a + -6i + 6i Combine like terms: -3a + 3a = 0 -9 + -2I + 3a + 4bI + 6i = 0 + -6i + 6i -9 + -2I + 3a + 4bI + 6i = -6i + 6i Combine like terms: -6i + 6i = 0 -9 + -2I + 3a + 4bI + 6i = 0 The solution to this equation could not be determined.
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