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Simplifying a(0.85 + -0.95i) = 7 + -4i + -0.85bi + -0.95b (0.85 * a + -0.95i * a) = 7 + -4i + -0.85bi + -0.95b (0.85a + -0.95ai) = 7 + -4i + -0.85bi + -0.95b Reorder the terms: 0.85a + -0.95ai = 7 + -0.95b + -0.85bi + -4i Solving 0.85a + -0.95ai = 7 + -0.95b + -0.85bi + -4i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -7 + 0.85a + -0.95ai + 0.95b + 0.85bi + 4i = 7 + -0.95b + -0.85bi + -4i + -7 + 0.95b + 0.85bi + 4i Reorder the terms: -7 + 0.85a + -0.95ai + 0.95b + 0.85bi + 4i = 7 + -7 + -0.95b + 0.95b + -0.85bi + 0.85bi + -4i + 4i Combine like terms: 7 + -7 = 0 -7 + 0.85a + -0.95ai + 0.95b + 0.85bi + 4i = 0 + -0.95b + 0.95b + -0.85bi + 0.85bi + -4i + 4i -7 + 0.85a + -0.95ai + 0.95b + 0.85bi + 4i = -0.95b + 0.95b + -0.85bi + 0.85bi + -4i + 4i Combine like terms: -0.95b + 0.95b = 0.00 -7 + 0.85a + -0.95ai + 0.95b + 0.85bi + 4i = 0.00 + -0.85bi + 0.85bi + -4i + 4i -7 + 0.85a + -0.95ai + 0.95b + 0.85bi + 4i = -0.85bi + 0.85bi + -4i + 4i Combine like terms: -0.85bi + 0.85bi = 0.00 -7 + 0.85a + -0.95ai + 0.95b + 0.85bi + 4i = 0.00 + -4i + 4i -7 + 0.85a + -0.95ai + 0.95b + 0.85bi + 4i = -4i + 4i Combine like terms: -4i + 4i = 0 -7 + 0.85a + -0.95ai + 0.95b + 0.85bi + 4i = 0 The solution to this equation could not be determined.
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