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Simplifying (8 + 6i) + (44 + -17) + -1(a + b) = 0 Remove parenthesis around (8 + 6i) 8 + 6i + (44 + -17) + -1(a + b) = 0 Combine like terms: 44 + -17 = 27 8 + 6i + (27) + -1(a + b) = 0 8 + 6i + 27 + -1(a + b) = 0 8 + 6i + 27 + (a * -1 + b * -1) = 0 8 + 6i + 27 + (-1a + -1b) = 0 Reorder the terms: 8 + 27 + -1a + -1b + 6i = 0 Combine like terms: 8 + 27 = 35 35 + -1a + -1b + 6i = 0 Solving 35 + -1a + -1b + 6i = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -1a + -1b + -35 + 6i = 0 + -35 Reorder the terms: 35 + -35 + -1a + -1b + 6i = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1a + -1b + 6i = 0 + -35 -1a + -1b + 6i = 0 + -35 Combine like terms: 0 + -35 = -35 -1a + -1b + 6i = -35 Add 'b' to each side of the equation. -1a + -1b + b + 6i = -35 + b Combine like terms: -1b + b = 0 -1a + 0 + 6i = -35 + b -1a + 6i = -35 + b Add '-6i' to each side of the equation. -1a + 6i + -6i = -35 + b + -6i Combine like terms: 6i + -6i = 0 -1a + 0 = -35 + b + -6i -1a = -35 + b + -6i Divide each side by '-1'. a = 35 + -1b + 6i Simplifying a = 35 + -1b + 6i
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