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Simplifying (7 + 3i) + -1(26 + -9i) = 0 Remove parenthesis around (7 + 3i) 7 + 3i + -1(26 + -9i) = 0 7 + 3i + (26 * -1 + -9i * -1) = 0 7 + 3i + (-26 + 9i) = 0 Reorder the terms: 7 + -26 + 3i + 9i = 0 Combine like terms: 7 + -26 = -19 -19 + 3i + 9i = 0 Combine like terms: 3i + 9i = 12i -19 + 12i = 0 Solving -19 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 12i = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 12i = 0 + 19 12i = 0 + 19 Combine like terms: 0 + 19 = 19 12i = 19 Divide each side by '12'. i = 1.583333333 Simplifying i = 1.583333333
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