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Simplifying (12 + -6i) = (-3 + -8i) Remove parenthesis around (12 + -6i) 12 + -6i = (-3 + -8i) Remove parenthesis around (-3 + -8i) 12 + -6i = -3 + -8i Solving 12 + -6i = -3 + -8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8i' to each side of the equation. 12 + -6i + 8i = -3 + -8i + 8i Combine like terms: -6i + 8i = 2i 12 + 2i = -3 + -8i + 8i Combine like terms: -8i + 8i = 0 12 + 2i = -3 + 0 12 + 2i = -3 Add '-12' to each side of the equation. 12 + -12 + 2i = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 2i = -3 + -12 2i = -3 + -12 Combine like terms: -3 + -12 = -15 2i = -15 Divide each side by '2'. i = -7.5 Simplifying i = -7.5
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