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Simplifying (3 + 10i) + (-4 + 2i) = 0 Remove parenthesis around (3 + 10i) 3 + 10i + (-4 + 2i) = 0 Remove parenthesis around (-4 + 2i) 3 + 10i + -4 + 2i = 0 Reorder the terms: 3 + -4 + 10i + 2i = 0 Combine like terms: 3 + -4 = -1 -1 + 10i + 2i = 0 Combine like terms: 10i + 2i = 12i -1 + 12i = 0 Solving -1 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12i = 0 + 1 12i = 0 + 1 Combine like terms: 0 + 1 = 1 12i = 1 Divide each side by '12'. i = 0.08333333333 Simplifying i = 0.08333333333
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