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Simplifying z2 + -1(7 + i) + 24 + 7i = 0 z2 + (7 * -1 + i * -1) + 24 + 7i = 0 z2 + (-7 + -1i) + 24 + 7i = 0 Reorder the terms: -7 + 24 + -1i + 7i + z2 = 0 Combine like terms: -7 + 24 = 17 17 + -1i + 7i + z2 = 0 Combine like terms: -1i + 7i = 6i 17 + 6i + z2 = 0 Solving 17 + 6i + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 6i + -17 + z2 = 0 + -17 Reorder the terms: 17 + -17 + 6i + z2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 6i + z2 = 0 + -17 6i + z2 = 0 + -17 Combine like terms: 0 + -17 = -17 6i + z2 = -17 Add '-1z2' to each side of the equation. 6i + z2 + -1z2 = -17 + -1z2 Combine like terms: z2 + -1z2 = 0 6i + 0 = -17 + -1z2 6i = -17 + -1z2 Divide each side by '6'. i = -2.833333333 + -0.1666666667z2 Simplifying i = -2.833333333 + -0.1666666667z2
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