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Simplifying (i + -3) + (8 + -4i) = 0 Reorder the terms: (-3 + i) + (8 + -4i) = 0 Remove parenthesis around (-3 + i) -3 + i + (8 + -4i) = 0 Remove parenthesis around (8 + -4i) -3 + i + 8 + -4i = 0 Reorder the terms: -3 + 8 + i + -4i = 0 Combine like terms: -3 + 8 = 5 5 + i + -4i = 0 Combine like terms: i + -4i = -3i 5 + -3i = 0 Solving 5 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3i = 0 + -5 -3i = 0 + -5 Combine like terms: 0 + -5 = -5 -3i = -5 Divide each side by '-3'. i = 1.666666667 Simplifying i = 1.666666667
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