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Simplifying (7 + 6i) + -1(2 + -3i) = 0 Remove parenthesis around (7 + 6i) 7 + 6i + -1(2 + -3i) = 0 7 + 6i + (2 * -1 + -3i * -1) = 0 7 + 6i + (-2 + 3i) = 0 Reorder the terms: 7 + -2 + 6i + 3i = 0 Combine like terms: 7 + -2 = 5 5 + 6i + 3i = 0 Combine like terms: 6i + 3i = 9i 5 + 9i = 0 Solving 5 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9i = 0 + -5 9i = 0 + -5 Combine like terms: 0 + -5 = -5 9i = -5 Divide each side by '9'. i = -0.5555555556 Simplifying i = -0.5555555556
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