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Simplifying a + 5 + (2a + -4b) * i = 15 + 60i Reorder the terms for easier multiplication: a + 5 + i(2a + -4b) = 15 + 60i a + 5 + (2a * i + -4b * i) = 15 + 60i a + 5 + (2ai + -4bi) = 15 + 60i Reorder the terms: 5 + a + 2ai + -4bi = 15 + 60i Solving 5 + a + 2ai + -4bi = 15 + 60i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + a + 2ai + -5 + -4bi = 15 + -5 + 60i Reorder the terms: 5 + -5 + a + 2ai + -4bi = 15 + -5 + 60i Combine like terms: 5 + -5 = 0 0 + a + 2ai + -4bi = 15 + -5 + 60i a + 2ai + -4bi = 15 + -5 + 60i Combine like terms: 15 + -5 = 10 a + 2ai + -4bi = 10 + 60i Add '4bi' to each side of the equation. a + 2ai + -4bi + 4bi = 10 + 4bi + 60i Combine like terms: -4bi + 4bi = 0 a + 2ai + 0 = 10 + 4bi + 60i a + 2ai = 10 + 4bi + 60i Reorder the terms: -10 + a + 2ai + -4bi + -60i = 10 + 4bi + 60i + -10 + -4bi + -60i Reorder the terms: -10 + a + 2ai + -4bi + -60i = 10 + -10 + 4bi + -4bi + 60i + -60i Combine like terms: 10 + -10 = 0 -10 + a + 2ai + -4bi + -60i = 0 + 4bi + -4bi + 60i + -60i -10 + a + 2ai + -4bi + -60i = 4bi + -4bi + 60i + -60i Combine like terms: 4bi + -4bi = 0 -10 + a + 2ai + -4bi + -60i = 0 + 60i + -60i -10 + a + 2ai + -4bi + -60i = 60i + -60i Combine like terms: 60i + -60i = 0 -10 + a + 2ai + -4bi + -60i = 0 The solution to this equation could not be determined.
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