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Simplifying 2 + i + 3z = 2 + -1i Add '-2' to each side of the equation. 2 + i + -2 + 3z = 2 + -2 + -1i Reorder the terms: 2 + -2 + i + 3z = 2 + -2 + -1i Combine like terms: 2 + -2 = 0 0 + i + 3z = 2 + -2 + -1i i + 3z = 2 + -2 + -1i Combine like terms: 2 + -2 = 0 i + 3z = 0 + -1i i + 3z = -1i Solving i + 3z = -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. i + i + 3z = -1i + i Combine like terms: i + i = 2i 2i + 3z = -1i + i Combine like terms: -1i + i = 0 2i + 3z = 0 Add '-3z' to each side of the equation. 2i + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 2i + 0 = 0 + -3z 2i = 0 + -3z Remove the zero: 2i = -3z Divide each side by '2'. i = -1.5z Simplifying i = -1.5z
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