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Simplifying 2z + i = 5 + -2i Reorder the terms: i + 2z = 5 + -2i Solving i + 2z = 5 + -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. i + 2i + 2z = 5 + -2i + 2i Combine like terms: i + 2i = 3i 3i + 2z = 5 + -2i + 2i Combine like terms: -2i + 2i = 0 3i + 2z = 5 + 0 3i + 2z = 5 Add '-2z' to each side of the equation. 3i + 2z + -2z = 5 + -2z Combine like terms: 2z + -2z = 0 3i + 0 = 5 + -2z 3i = 5 + -2z Divide each side by '3'. i = 1.666666667 + -0.6666666667z Simplifying i = 1.666666667 + -0.6666666667z
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