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Simplifying (3 + -5i) + -2(6 + 3i) = 0 Remove parenthesis around (3 + -5i) 3 + -5i + -2(6 + 3i) = 0 3 + -5i + (6 * -2 + 3i * -2) = 0 3 + -5i + (-12 + -6i) = 0 Reorder the terms: 3 + -12 + -5i + -6i = 0 Combine like terms: 3 + -12 = -9 -9 + -5i + -6i = 0 Combine like terms: -5i + -6i = -11i -9 + -11i = 0 Solving -9 + -11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -11i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -11i = 0 + 9 -11i = 0 + 9 Combine like terms: 0 + 9 = 9 -11i = 9 Divide each side by '-11'. i = -0.8181818182 Simplifying i = -0.8181818182
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