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Simplifying (-5 + -4i) + (8 + 7i) = 0 Remove parenthesis around (-5 + -4i) -5 + -4i + (8 + 7i) = 0 Remove parenthesis around (8 + 7i) -5 + -4i + 8 + 7i = 0 Reorder the terms: -5 + 8 + -4i + 7i = 0 Combine like terms: -5 + 8 = 3 3 + -4i + 7i = 0 Combine like terms: -4i + 7i = 3i 3 + 3i = 0 Solving 3 + 3i = 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 + 3i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3i = 0 + -3 3i = 0 + -3 Combine like terms: 0 + -3 = -3 3i = -3 Divide each side by '3'. i = -1 Simplifying i = -1
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