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Simplifying (5 + 4i) + -1(3 + 5) = 0 Remove parenthesis around (5 + 4i) 5 + 4i + -1(3 + 5) = 0 Combine like terms: 3 + 5 = 8 5 + 4i + -1(8) = 0 Multiply -1 * 8 5 + 4i + -8 = 0 Reorder the terms: 5 + -8 + 4i = 0 Combine like terms: 5 + -8 = -3 -3 + 4i = 0 Solving -3 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4i = 0 + 3 4i = 0 + 3 Combine like terms: 0 + 3 = 3 4i = 3 Divide each side by '4'. i = 0.75 Simplifying i = 0.75
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