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Simplifying (10 + 3i) + -1(11 + -5i) = 0 Remove parenthesis around (10 + 3i) 10 + 3i + -1(11 + -5i) = 0 10 + 3i + (11 * -1 + -5i * -1) = 0 10 + 3i + (-11 + 5i) = 0 Reorder the terms: 10 + -11 + 3i + 5i = 0 Combine like terms: 10 + -11 = -1 -1 + 3i + 5i = 0 Combine like terms: 3i + 5i = 8i -1 + 8i = 0 Solving -1 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8i = 0 + 1 8i = 0 + 1 Combine like terms: 0 + 1 = 1 8i = 1 Divide each side by '8'. i = 0.125 Simplifying i = 0.125
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