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Simplifying (2a + -4b) * i + a + 5b = 15 + 58 Reorder the terms for easier multiplication: i(2a + -4b) + a + 5b = 15 + 58 (2a * i + -4b * i) + a + 5b = 15 + 58 (2ai + -4bi) + a + 5b = 15 + 58 Reorder the terms: a + 2ai + 5b + -4bi = 15 + 58 Combine like terms: 15 + 58 = 73 a + 2ai + 5b + -4bi = 73 Solving a + 2ai + 5b + -4bi = 73 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. a + 2ai + 5b + -5b + -4bi = 73 + -5b Combine like terms: 5b + -5b = 0 a + 2ai + 0 + -4bi = 73 + -5b a + 2ai + -4bi = 73 + -5b Add '4bi' to each side of the equation. a + 2ai + -4bi + 4bi = 73 + -5b + 4bi Combine like terms: -4bi + 4bi = 0 a + 2ai + 0 = 73 + -5b + 4bi a + 2ai = 73 + -5b + 4bi Reorder the terms: -73 + a + 2ai + 5b + -4bi = 73 + -5b + 4bi + -73 + 5b + -4bi Reorder the terms: -73 + a + 2ai + 5b + -4bi = 73 + -73 + -5b + 5b + 4bi + -4bi Combine like terms: 73 + -73 = 0 -73 + a + 2ai + 5b + -4bi = 0 + -5b + 5b + 4bi + -4bi -73 + a + 2ai + 5b + -4bi = -5b + 5b + 4bi + -4bi Combine like terms: -5b + 5b = 0 -73 + a + 2ai + 5b + -4bi = 0 + 4bi + -4bi -73 + a + 2ai + 5b + -4bi = 4bi + -4bi Combine like terms: 4bi + -4bi = 0 -73 + a + 2ai + 5b + -4bi = 0 The solution to this equation could not be determined.
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