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Simplifying 3 + -1(5 + 2i) + -8i = 0 3 + (5 * -1 + 2i * -1) + -8i = 0 3 + (-5 + -2i) + -8i = 0 Combine like terms: 3 + -5 = -2 -2 + -2i + -8i = 0 Combine like terms: -2i + -8i = -10i -2 + -10i = 0 Solving -2 + -10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -10i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -10i = 0 + 2 -10i = 0 + 2 Combine like terms: 0 + 2 = 2 -10i = 2 Divide each side by '-10'. i = -0.2 Simplifying i = -0.2
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