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Simplifying a + 3b + (3a + -1b) * I = 6 Reorder the terms for easier multiplication: a + 3b + I(3a + -1b) = 6 a + 3b + (3a * I + -1b * I) = 6 a + 3b + (3aI + -1bI) = 6 Reorder the terms: a + 3aI + 3b + -1bI = 6 Solving a + 3aI + 3b + -1bI = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. a + 3aI + 3b + -3b + -1bI = 6 + -3b Combine like terms: 3b + -3b = 0 a + 3aI + 0 + -1bI = 6 + -3b a + 3aI + -1bI = 6 + -3b Add 'bI' to each side of the equation. a + 3aI + -1bI + bI = 6 + -3b + bI Combine like terms: -1bI + bI = 0 a + 3aI + 0 = 6 + -3b + bI a + 3aI = 6 + -3b + bI Reorder the terms: -6 + a + 3aI + 3b + -1bI = 6 + -3b + bI + -6 + 3b + -1bI Reorder the terms: -6 + a + 3aI + 3b + -1bI = 6 + -6 + -3b + 3b + bI + -1bI Combine like terms: 6 + -6 = 0 -6 + a + 3aI + 3b + -1bI = 0 + -3b + 3b + bI + -1bI -6 + a + 3aI + 3b + -1bI = -3b + 3b + bI + -1bI Combine like terms: -3b + 3b = 0 -6 + a + 3aI + 3b + -1bI = 0 + bI + -1bI -6 + a + 3aI + 3b + -1bI = bI + -1bI Combine like terms: bI + -1bI = 0 -6 + a + 3aI + 3b + -1bI = 0 The solution to this equation could not be determined.
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