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Simplifying (4 + -6i) + i + 2i = 0 Remove parenthesis around (4 + -6i) 4 + -6i + i + 2i = 0 Combine like terms: -6i + i = -5i 4 + -5i + 2i = 0 Combine like terms: -5i + 2i = -3i 4 + -3i = 0 Solving 4 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3i = 0 + -4 -3i = 0 + -4 Combine like terms: 0 + -4 = -4 -3i = -4 Divide each side by '-3'. i = 1.333333333 Simplifying i = 1.333333333
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