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Simplifying (5 + -3i) + (-7 + -2i) = 0 Remove parenthesis around (5 + -3i) 5 + -3i + (-7 + -2i) = 0 Remove parenthesis around (-7 + -2i) 5 + -3i + -7 + -2i = 0 Reorder the terms: 5 + -7 + -3i + -2i = 0 Combine like terms: 5 + -7 = -2 -2 + -3i + -2i = 0 Combine like terms: -3i + -2i = -5i -2 + -5i = 0 Solving -2 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5i = 0 + 2 -5i = 0 + 2 Combine like terms: 0 + 2 = 2 -5i = 2 Divide each side by '-5'. i = -0.4 Simplifying i = -0.4
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