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Simplifying -1(-3 + 5i) + (2 + -1i) = 0 (-3 * -1 + 5i * -1) + (2 + -1i) = 0 (3 + -5i) + (2 + -1i) = 0 Remove parenthesis around (2 + -1i) 3 + -5i + 2 + -1i = 0 Reorder the terms: 3 + 2 + -5i + -1i = 0 Combine like terms: 3 + 2 = 5 5 + -5i + -1i = 0 Combine like terms: -5i + -1i = -6i 5 + -6i = 0 Solving 5 + -6i = 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 + -6i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6i = 0 + -5 -6i = 0 + -5 Combine like terms: 0 + -5 = -5 -6i = -5 Divide each side by '-6'. i = 0.8333333333 Simplifying i = 0.8333333333
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