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Simplifying a + 3ib + 4i = 0 Solving a + 3bi + 4i = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3bi' to each side of the equation. a + 3bi + -3bi + 4i = 0 + -3bi Combine like terms: 3bi + -3bi = 0 a + 0 + 4i = 0 + -3bi a + 4i = 0 + -3bi Remove the zero: a + 4i = -3bi Add '-4i' to each side of the equation. a + 4i + -4i = -3bi + -4i Combine like terms: 4i + -4i = 0 a + 0 = -3bi + -4i a = -3bi + -4i Simplifying a = -3bi + -4i
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