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Simplifying 7 + 3i + -1(5 + 6i) = 0 7 + 3i + (5 * -1 + 6i * -1) = 0 7 + 3i + (-5 + -6i) = 0 Reorder the terms: 7 + -5 + 3i + -6i = 0 Combine like terms: 7 + -5 = 2 2 + 3i + -6i = 0 Combine like terms: 3i + -6i = -3i 2 + -3i = 0 Solving 2 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3i = 0 + -2 -3i = 0 + -2 Combine like terms: 0 + -2 = -2 -3i = -2 Divide each side by '-3'. i = 0.6666666667 Simplifying i = 0.6666666667
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