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Simplifying (3 + -7i) + -1(1 + 8i) = 0 Remove parenthesis around (3 + -7i) 3 + -7i + -1(1 + 8i) = 0 3 + -7i + (1 * -1 + 8i * -1) = 0 3 + -7i + (-1 + -8i) = 0 Reorder the terms: 3 + -1 + -7i + -8i = 0 Combine like terms: 3 + -1 = 2 2 + -7i + -8i = 0 Combine like terms: -7i + -8i = -15i 2 + -15i = 0 Solving 2 + -15i = 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 + -15i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -15i = 0 + -2 -15i = 0 + -2 Combine like terms: 0 + -2 = -2 -15i = -2 Divide each side by '-15'. i = 0.1333333333 Simplifying i = 0.1333333333
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