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Simplifying (7 + 8i) + -1(7 + -4i) = 0 Remove parenthesis around (7 + 8i) 7 + 8i + -1(7 + -4i) = 0 7 + 8i + (7 * -1 + -4i * -1) = 0 7 + 8i + (-7 + 4i) = 0 Reorder the terms: 7 + -7 + 8i + 4i = 0 Combine like terms: 7 + -7 = 0 0 + 8i + 4i = 0 8i + 4i = 0 Combine like terms: 8i + 4i = 12i 12i = 0 Solving 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '12'. i = 0 Simplifying i = 0
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