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Simplifying (7 + -8i) + -1(2 + -1i) = 0 Remove parenthesis around (7 + -8i) 7 + -8i + -1(2 + -1i) = 0 7 + -8i + (2 * -1 + -1i * -1) = 0 7 + -8i + (-2 + 1i) = 0 Reorder the terms: 7 + -2 + -8i + 1i = 0 Combine like terms: 7 + -2 = 5 5 + -8i + 1i = 0 Combine like terms: -8i + 1i = -7i 5 + -7i = 0 Solving 5 + -7i = 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 + -7i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7i = 0 + -5 -7i = 0 + -5 Combine like terms: 0 + -5 = -5 -7i = -5 Divide each side by '-7'. i = 0.7142857143 Simplifying i = 0.7142857143
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