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Simplifying (3 + -7i) + -1(-5 + -5i) = 0 Remove parenthesis around (3 + -7i) 3 + -7i + -1(-5 + -5i) = 0 3 + -7i + (-5 * -1 + -5i * -1) = 0 3 + -7i + (5 + 5i) = 0 Reorder the terms: 3 + 5 + -7i + 5i = 0 Combine like terms: 3 + 5 = 8 8 + -7i + 5i = 0 Combine like terms: -7i + 5i = -2i 8 + -2i = 0 Solving 8 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2i = 0 + -8 -2i = 0 + -8 Combine like terms: 0 + -8 = -8 -2i = -8 Divide each side by '-2'. i = 4 Simplifying i = 4
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