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Simplifying (4 + -12i) + -1(-8 + 4i) = 0 Remove parenthesis around (4 + -12i) 4 + -12i + -1(-8 + 4i) = 0 4 + -12i + (-8 * -1 + 4i * -1) = 0 4 + -12i + (8 + -4i) = 0 Reorder the terms: 4 + 8 + -12i + -4i = 0 Combine like terms: 4 + 8 = 12 12 + -12i + -4i = 0 Combine like terms: -12i + -4i = -16i 12 + -16i = 0 Solving 12 + -16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -16i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -16i = 0 + -12 -16i = 0 + -12 Combine like terms: 0 + -12 = -12 -16i = -12 Divide each side by '-16'. i = 0.75 Simplifying i = 0.75
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