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Simplifying 8 = -7(i + -7) Reorder the terms: 8 = -7(-7 + i) 8 = (-7 * -7 + i * -7) 8 = (49 + -7i) Solving 8 = 49 + -7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. 8 + 7i = 49 + -7i + 7i Combine like terms: -7i + 7i = 0 8 + 7i = 49 + 0 8 + 7i = 49 Add '-8' to each side of the equation. 8 + -8 + 7i = 49 + -8 Combine like terms: 8 + -8 = 0 0 + 7i = 49 + -8 7i = 49 + -8 Combine like terms: 49 + -8 = 41 7i = 41 Divide each side by '7'. i = 5.857142857 Simplifying i = 5.857142857
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