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Simplifying (9 + -3i) + -1(2 + i) = 0 Remove parenthesis around (9 + -3i) 9 + -3i + -1(2 + i) = 0 9 + -3i + (2 * -1 + i * -1) = 0 9 + -3i + (-2 + -1i) = 0 Reorder the terms: 9 + -2 + -3i + -1i = 0 Combine like terms: 9 + -2 = 7 7 + -3i + -1i = 0 Combine like terms: -3i + -1i = -4i 7 + -4i = 0 Solving 7 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4i = 0 + -7 -4i = 0 + -7 Combine like terms: 0 + -7 = -7 -4i = -7 Divide each side by '-4'. i = 1.75 Simplifying i = 1.75
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