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Simplifying (a + -1) + (b + 3) = 5 + 8i Reorder the terms: (-1 + a) + (b + 3) = 5 + 8i Remove parenthesis around (-1 + a) -1 + a + (b + 3) = 5 + 8i Reorder the terms: -1 + a + (3 + b) = 5 + 8i Remove parenthesis around (3 + b) -1 + a + 3 + b = 5 + 8i Reorder the terms: -1 + 3 + a + b = 5 + 8i Combine like terms: -1 + 3 = 2 2 + a + b = 5 + 8i Solving 2 + a + b = 5 + 8i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + a + -2 + b = 5 + -2 + 8i Reorder the terms: 2 + -2 + a + b = 5 + -2 + 8i Combine like terms: 2 + -2 = 0 0 + a + b = 5 + -2 + 8i a + b = 5 + -2 + 8i Combine like terms: 5 + -2 = 3 a + b = 3 + 8i Add '-1b' to each side of the equation. a + b + -1b = 3 + -1b + 8i Combine like terms: b + -1b = 0 a + 0 = 3 + -1b + 8i a = 3 + -1b + 8i Simplifying a = 3 + -1b + 8i
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