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Simplifying (2 + 3i) + (-6 + i) = 0 Remove parenthesis around (2 + 3i) 2 + 3i + (-6 + i) = 0 Remove parenthesis around (-6 + i) 2 + 3i + -6 + i = 0 Reorder the terms: 2 + -6 + 3i + i = 0 Combine like terms: 2 + -6 = -4 -4 + 3i + i = 0 Combine like terms: 3i + i = 4i -4 + 4i = 0 Solving -4 + 4i = 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 + 4i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4i = 0 + 4 4i = 0 + 4 Combine like terms: 0 + 4 = 4 4i = 4 Divide each side by '4'. i = 1 Simplifying i = 1
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