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Simplifying (5 + 4i) + (3 + -7) = 0 Remove parenthesis around (5 + 4i) 5 + 4i + (3 + -7) = 0 Combine like terms: 3 + -7 = -4 5 + 4i + (-4) = 0 5 + 4i + -4 = 0 Reorder the terms: 5 + -4 + 4i = 0 Combine like terms: 5 + -4 = 1 1 + 4i = 0 Solving 1 + 4i = 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 + 4i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4i = 0 + -1 4i = 0 + -1 Combine like terms: 0 + -1 = -1 4i = -1 Divide each side by '4'. i = -0.25 Simplifying i = -0.25
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