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Simplifying 4i + -3 = 2i + 13 Reorder the terms: -3 + 4i = 2i + 13 Reorder the terms: -3 + 4i = 13 + 2i Solving -3 + 4i = 13 + 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 + 4i + -2i = 13 + 2i + -2i Combine like terms: 4i + -2i = 2i -3 + 2i = 13 + 2i + -2i Combine like terms: 2i + -2i = 0 -3 + 2i = 13 + 0 -3 + 2i = 13 Add '3' to each side of the equation. -3 + 3 + 2i = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 2i = 13 + 3 2i = 13 + 3 Combine like terms: 13 + 3 = 16 2i = 16 Divide each side by '2'. i = 8 Simplifying i = 8
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