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Simplifying (7 + -9i) + -1(-1 + 3i) = 0 Remove parenthesis around (7 + -9i) 7 + -9i + -1(-1 + 3i) = 0 7 + -9i + (-1 * -1 + 3i * -1) = 0 7 + -9i + (1 + -3i) = 0 Reorder the terms: 7 + 1 + -9i + -3i = 0 Combine like terms: 7 + 1 = 8 8 + -9i + -3i = 0 Combine like terms: -9i + -3i = -12i 8 + -12i = 0 Solving 8 + -12i = 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 + -12i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -12i = 0 + -8 -12i = 0 + -8 Combine like terms: 0 + -8 = -8 -12i = -8 Divide each side by '-12'. i = 0.6666666667 Simplifying i = 0.6666666667
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