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Simplifying (3 + 4i) + -1(3 + -4i) = a + bi Remove parenthesis around (3 + 4i) 3 + 4i + -1(3 + -4i) = a + bi 3 + 4i + (3 * -1 + -4i * -1) = a + bi 3 + 4i + (-3 + 4i) = a + bi Reorder the terms: 3 + -3 + 4i + 4i = a + bi Combine like terms: 3 + -3 = 0 0 + 4i + 4i = a + bi 4i + 4i = a + bi Combine like terms: 4i + 4i = 8i 8i = a + bi Solving 8i = a + bi Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1bi' to each side of the equation. -1bi + 8i = a + bi + -1bi Combine like terms: bi + -1bi = 0 -1bi + 8i = a + 0 -1bi + 8i = a Reorder the terms: -1a + -1bi + 8i = a + -1a Combine like terms: a + -1a = 0 -1a + -1bi + 8i = 0 The solution to this equation could not be determined.
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