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Simplifying (6 + -1i) + -1(9 + 2i) = 0 Remove parenthesis around (6 + -1i) 6 + -1i + -1(9 + 2i) = 0 6 + -1i + (9 * -1 + 2i * -1) = 0 6 + -1i + (-9 + -2i) = 0 Reorder the terms: 6 + -9 + -1i + -2i = 0 Combine like terms: 6 + -9 = -3 -3 + -1i + -2i = 0 Combine like terms: -1i + -2i = -3i -3 + -3i = 0 Solving -3 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -3i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3i = 0 + 3 -3i = 0 + 3 Combine like terms: 0 + 3 = 3 -3i = 3 Divide each side by '-3'. i = -1 Simplifying i = -1
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