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Simplifying 13 + -1(5 + i) + 7i = 0 13 + (5 * -1 + i * -1) + 7i = 0 13 + (-5 + -1i) + 7i = 0 Combine like terms: 13 + -5 = 8 8 + -1i + 7i = 0 Combine like terms: -1i + 7i = 6i 8 + 6i = 0 Solving 8 + 6i = 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 + 6i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 6i = 0 + -8 6i = 0 + -8 Combine like terms: 0 + -8 = -8 6i = -8 Divide each side by '6'. i = -1.333333333 Simplifying i = -1.333333333
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