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