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Simplifying (1 + i) + -1(7 + -5i) = 0 Remove parenthesis around (1 + i) 1 + i + -1(7 + -5i) = 0 1 + i + (7 * -1 + -5i * -1) = 0 1 + i + (-7 + 5i) = 0 Reorder the terms: 1 + -7 + i + 5i = 0 Combine like terms: 1 + -7 = -6 -6 + i + 5i = 0 Combine like terms: i + 5i = 6i -6 + 6i = 0 Solving -6 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6i = 0 + 6 6i = 0 + 6 Combine like terms: 0 + 6 = 6 6i = 6 Divide each side by '6'. i = 1 Simplifying i = 1
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