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Simplifying (3 + 2i) + -1(8 + -5i) = 0 Remove parenthesis around (3 + 2i) 3 + 2i + -1(8 + -5i) = 0 3 + 2i + (8 * -1 + -5i * -1) = 0 3 + 2i + (-8 + 5i) = 0 Reorder the terms: 3 + -8 + 2i + 5i = 0 Combine like terms: 3 + -8 = -5 -5 + 2i + 5i = 0 Combine like terms: 2i + 5i = 7i -5 + 7i = 0 Solving -5 + 7i = 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 + 7i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7i = 0 + 5 7i = 0 + 5 Combine like terms: 0 + 5 = 5 7i = 5 Divide each side by '7'. i = 0.7142857143 Simplifying i = 0.7142857143
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