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Simplifying (3 + -3i) = (4 + 5i) Remove parenthesis around (3 + -3i) 3 + -3i = (4 + 5i) Remove parenthesis around (4 + 5i) 3 + -3i = 4 + 5i Solving 3 + -3i = 4 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 3 + -3i + -5i = 4 + 5i + -5i Combine like terms: -3i + -5i = -8i 3 + -8i = 4 + 5i + -5i Combine like terms: 5i + -5i = 0 3 + -8i = 4 + 0 3 + -8i = 4 Add '-3' to each side of the equation. 3 + -3 + -8i = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -8i = 4 + -3 -8i = 4 + -3 Combine like terms: 4 + -3 = 1 -8i = 1 Divide each side by '-8'. i = -0.125 Simplifying i = -0.125
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