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Simplifying (8 + -3i) + -1(17 + -7i) = 0 Remove parenthesis around (8 + -3i) 8 + -3i + -1(17 + -7i) = 0 8 + -3i + (17 * -1 + -7i * -1) = 0 8 + -3i + (-17 + 7i) = 0 Reorder the terms: 8 + -17 + -3i + 7i = 0 Combine like terms: 8 + -17 = -9 -9 + -3i + 7i = 0 Combine like terms: -3i + 7i = 4i -9 + 4i = 0 Solving -9 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4i = 0 + 9 4i = 0 + 9 Combine like terms: 0 + 9 = 9 4i = 9 Divide each side by '4'. i = 2.25 Simplifying i = 2.25
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