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Simplifying 3 + 1i = (1 + 1) + 2i Combine like terms: 1 + 1 = 2 3 + 1i = (2) + 2i 3 + 1i = 2 + 2i Solving 3 + 1i = 2 + 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. 3 + 1i + -2i = 2 + 2i + -2i Combine like terms: 1i + -2i = -1i 3 + -1i = 2 + 2i + -2i Combine like terms: 2i + -2i = 0 3 + -1i = 2 + 0 3 + -1i = 2 Add '-3' to each side of the equation. 3 + -3 + -1i = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -1i = 2 + -3 -1i = 2 + -3 Combine like terms: 2 + -3 = -1 -1i = -1 Divide each side by '-1'. i = 1 Simplifying i = 1
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