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Simplifying (-5 + 4i) + (4 + -7i) = 0 Remove parenthesis around (-5 + 4i) -5 + 4i + (4 + -7i) = 0 Remove parenthesis around (4 + -7i) -5 + 4i + 4 + -7i = 0 Reorder the terms: -5 + 4 + 4i + -7i = 0 Combine like terms: -5 + 4 = -1 -1 + 4i + -7i = 0 Combine like terms: 4i + -7i = -3i -1 + -3i = 0 Solving -1 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3i = 0 + 1 -3i = 0 + 1 Combine like terms: 0 + 1 = 1 -3i = 1 Divide each side by '-3'. i = -0.3333333333 Simplifying i = -0.3333333333
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