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Simplifying (9 + 4i) + -1(17 + -6i) = 0 Remove parenthesis around (9 + 4i) 9 + 4i + -1(17 + -6i) = 0 9 + 4i + (17 * -1 + -6i * -1) = 0 9 + 4i + (-17 + 6i) = 0 Reorder the terms: 9 + -17 + 4i + 6i = 0 Combine like terms: 9 + -17 = -8 -8 + 4i + 6i = 0 Combine like terms: 4i + 6i = 10i -8 + 10i = 0 Solving -8 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 10i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 10i = 0 + 8 10i = 0 + 8 Combine like terms: 0 + 8 = 8 10i = 8 Divide each side by '10'. i = 0.8 Simplifying i = 0.8
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