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Simplifying (2 + -5i) + -1(7 + -8i) = 0 Remove parenthesis around (2 + -5i) 2 + -5i + -1(7 + -8i) = 0 2 + -5i + (7 * -1 + -8i * -1) = 0 2 + -5i + (-7 + 8i) = 0 Reorder the terms: 2 + -7 + -5i + 8i = 0 Combine like terms: 2 + -7 = -5 -5 + -5i + 8i = 0 Combine like terms: -5i + 8i = 3i -5 + 3i = 0 Solving -5 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3i = 0 + 5 3i = 0 + 5 Combine like terms: 0 + 5 = 5 3i = 5 Divide each side by '3'. i = 1.666666667 Simplifying i = 1.666666667
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