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Simplifying (-7 + 3i) + (10 + -1i) = 0 Remove parenthesis around (-7 + 3i) -7 + 3i + (10 + -1i) = 0 Remove parenthesis around (10 + -1i) -7 + 3i + 10 + -1i = 0 Reorder the terms: -7 + 10 + 3i + -1i = 0 Combine like terms: -7 + 10 = 3 3 + 3i + -1i = 0 Combine like terms: 3i + -1i = 2i 3 + 2i = 0 Solving 3 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2i = 0 + -3 2i = 0 + -3 Combine like terms: 0 + -3 = -3 2i = -3 Divide each side by '2'. i = -1.5 Simplifying i = -1.5
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