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Simplifying (5 + -2i) + -1(5 + -6i) = 0 Remove parenthesis around (5 + -2i) 5 + -2i + -1(5 + -6i) = 0 5 + -2i + (5 * -1 + -6i * -1) = 0 5 + -2i + (-5 + 6i) = 0 Reorder the terms: 5 + -5 + -2i + 6i = 0 Combine like terms: 5 + -5 = 0 0 + -2i + 6i = 0 -2i + 6i = 0 Combine like terms: -2i + 6i = 4i 4i = 0 Solving 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '4'. i = 0 Simplifying i = 0
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