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Simplifying (7 + -6i) + -1(-8 + 3i) = 0 Remove parenthesis around (7 + -6i) 7 + -6i + -1(-8 + 3i) = 0 7 + -6i + (-8 * -1 + 3i * -1) = 0 7 + -6i + (8 + -3i) = 0 Reorder the terms: 7 + 8 + -6i + -3i = 0 Combine like terms: 7 + 8 = 15 15 + -6i + -3i = 0 Combine like terms: -6i + -3i = -9i 15 + -9i = 0 Solving 15 + -9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -9i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -9i = 0 + -15 -9i = 0 + -15 Combine like terms: 0 + -15 = -15 -9i = -15 Divide each side by '-9'. i = 1.666666667 Simplifying i = 1.666666667
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