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Simplifying z + 12 + -5i = 26 + 2i Reorder the terms: 12 + -5i + z = 26 + 2i Solving 12 + -5i + z = 26 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. 12 + -5i + -2i + z = 26 + 2i + -2i Combine like terms: -5i + -2i = -7i 12 + -7i + z = 26 + 2i + -2i Combine like terms: 2i + -2i = 0 12 + -7i + z = 26 + 0 12 + -7i + z = 26 Add '-12' to each side of the equation. 12 + -7i + -12 + z = 26 + -12 Reorder the terms: 12 + -12 + -7i + z = 26 + -12 Combine like terms: 12 + -12 = 0 0 + -7i + z = 26 + -12 -7i + z = 26 + -12 Combine like terms: 26 + -12 = 14 -7i + z = 14 Add '-1z' to each side of the equation. -7i + z + -1z = 14 + -1z Combine like terms: z + -1z = 0 -7i + 0 = 14 + -1z -7i = 14 + -1z Divide each side by '-7'. i = -2 + 0.1428571429z Simplifying i = -2 + 0.1428571429z
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