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Simplifying (8 + 4i) + -1(9 + -4i) = 0 Remove parenthesis around (8 + 4i) 8 + 4i + -1(9 + -4i) = 0 8 + 4i + (9 * -1 + -4i * -1) = 0 8 + 4i + (-9 + 4i) = 0 Reorder the terms: 8 + -9 + 4i + 4i = 0 Combine like terms: 8 + -9 = -1 -1 + 4i + 4i = 0 Combine like terms: 4i + 4i = 8i -1 + 8i = 0 Solving -1 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8i = 0 + 1 8i = 0 + 1 Combine like terms: 0 + 1 = 1 8i = 1 Divide each side by '8'. i = 0.125 Simplifying i = 0.125
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