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Simplifying (5 + -6i) + -1(8 + 6i) = 0 Remove parenthesis around (5 + -6i) 5 + -6i + -1(8 + 6i) = 0 5 + -6i + (8 * -1 + 6i * -1) = 0 5 + -6i + (-8 + -6i) = 0 Reorder the terms: 5 + -8 + -6i + -6i = 0 Combine like terms: 5 + -8 = -3 -3 + -6i + -6i = 0 Combine like terms: -6i + -6i = -12i -3 + -12i = 0 Solving -3 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -12i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -12i = 0 + 3 -12i = 0 + 3 Combine like terms: 0 + 3 = 3 -12i = 3 Divide each side by '-12'. i = -0.25 Simplifying i = -0.25
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