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Simplifying (55 + -11i) + -1(a + bi) = 0 Remove parenthesis around (55 + -11i) 55 + -11i + -1(a + bi) = 0 55 + -11i + (a * -1 + bi * -1) = 0 55 + -11i + (-1a + -1bi) = 0 Reorder the terms: 55 + -1a + -1bi + -11i = 0 Solving 55 + -1a + -1bi + -11i = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -1a + -1bi + -55 + -11i = 0 + -55 Reorder the terms: 55 + -55 + -1a + -1bi + -11i = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -1a + -1bi + -11i = 0 + -55 -1a + -1bi + -11i = 0 + -55 Combine like terms: 0 + -55 = -55 -1a + -1bi + -11i = -55 Add 'bi' to each side of the equation. -1a + -1bi + bi + -11i = -55 + bi Combine like terms: -1bi + bi = 0 -1a + 0 + -11i = -55 + bi -1a + -11i = -55 + bi Add '11i' to each side of the equation. -1a + -11i + 11i = -55 + bi + 11i Combine like terms: -11i + 11i = 0 -1a + 0 = -55 + bi + 11i -1a = -55 + bi + 11i Divide each side by '-1'. a = 55 + -1bi + -11i Simplifying a = 55 + -1bi + -11i
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