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Simplifying (-2 + 5i) + (-3 + 3i) = 0 Remove parenthesis around (-2 + 5i) -2 + 5i + (-3 + 3i) = 0 Remove parenthesis around (-3 + 3i) -2 + 5i + -3 + 3i = 0 Reorder the terms: -2 + -3 + 5i + 3i = 0 Combine like terms: -2 + -3 = -5 -5 + 5i + 3i = 0 Combine like terms: 5i + 3i = 8i -5 + 8i = 0 Solving -5 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8i = 0 + 5 8i = 0 + 5 Combine like terms: 0 + 5 = 5 8i = 5 Divide each side by '8'. i = 0.625 Simplifying i = 0.625
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