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Simplifying (-1 + i) + (-10 + 3i) = 0 Remove parenthesis around (-1 + i) -1 + i + (-10 + 3i) = 0 Remove parenthesis around (-10 + 3i) -1 + i + -10 + 3i = 0 Reorder the terms: -1 + -10 + i + 3i = 0 Combine like terms: -1 + -10 = -11 -11 + i + 3i = 0 Combine like terms: i + 3i = 4i -11 + 4i = 0 Solving -11 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 4i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 4i = 0 + 11 4i = 0 + 11 Combine like terms: 0 + 11 = 11 4i = 11 Divide each side by '4'. i = 2.75 Simplifying i = 2.75
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