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Simplifying (4 + 4i) + (-2 + -5i) = 0 Remove parenthesis around (4 + 4i) 4 + 4i + (-2 + -5i) = 0 Remove parenthesis around (-2 + -5i) 4 + 4i + -2 + -5i = 0 Reorder the terms: 4 + -2 + 4i + -5i = 0 Combine like terms: 4 + -2 = 2 2 + 4i + -5i = 0 Combine like terms: 4i + -5i = -1i 2 + -1i = 0 Solving 2 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1i = 0 + -2 -1i = 0 + -2 Combine like terms: 0 + -2 = -2 -1i = -2 Divide each side by '-1'. i = 2 Simplifying i = 2
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