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Simplifying (-5 + 4i) = (3 + i) Remove parenthesis around (-5 + 4i) -5 + 4i = (3 + i) Remove parenthesis around (3 + i) -5 + 4i = 3 + i Solving -5 + 4i = 3 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. -5 + 4i + -1i = 3 + i + -1i Combine like terms: 4i + -1i = 3i -5 + 3i = 3 + i + -1i Combine like terms: i + -1i = 0 -5 + 3i = 3 + 0 -5 + 3i = 3 Add '5' to each side of the equation. -5 + 5 + 3i = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 3i = 3 + 5 3i = 3 + 5 Combine like terms: 3 + 5 = 8 3i = 8 Divide each side by '3'. i = 2.666666667 Simplifying i = 2.666666667
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