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Simplifying (3 + 8) + -1(-13 + 12i) = 0 Combine like terms: 3 + 8 = 11 (11) + -1(-13 + 12i) = 0 11 + -1(-13 + 12i) = 0 11 + (-13 * -1 + 12i * -1) = 0 11 + (13 + -12i) = 0 Combine like terms: 11 + 13 = 24 24 + -12i = 0 Solving 24 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -12i = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -12i = 0 + -24 -12i = 0 + -24 Combine like terms: 0 + -24 = -24 -12i = -24 Divide each side by '-12'. i = 2 Simplifying i = 2
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