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Simplifying 6(3 + -2i) = 0 (3 * 6 + -2i * 6) = 0 (18 + -12i) = 0 Solving 18 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -12i = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -12i = 0 + -18 -12i = 0 + -18 Combine like terms: 0 + -18 = -18 -12i = -18 Divide each side by '-12'. i = 1.5 Simplifying i = 1.5
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